Complex Analysis Seminar (Seminario de Análisis Complejo) - UAM
2025-26:
ACTO - JORNADA DE ANÁLISIS COMPLEJO Y TEORÍA DE OPERADORES (COMPLEX ANALYSIS AND OPERATOR THEORY DAY)
Organized by María José Martín (Universidad de La Laguna, Tenerife) and Dragan Vukotic (UAM) ANNOUNCEMENT AND BOOK OF ABSTRACTS
Friday, November 28, 2025
15:30 Alejandro MAS (Universidad de Alicante): Teoremas maximales para espacios tienda y de media radial integrable con peso
16:00 Iván JIMÉNEZ (UAM, Universidad Pontifica de Comillas): Cotas para la norma del operador de desplazamiento inverso
16:30 Coffee break
17:00 Bozhidar E. MIHAYLOV (UAM, Universidad Pontifica de Comillas): Subespacios pequeños y rangos de operadores en el espacio de Hardy H2
17:30 Iason EFRAIMIDIS (UAM): Hardy spaces, univalent functions and the second coefficient
Wednesday, November 5, 2025 [16:00 - 17:30] (Minicourse, part 2): María José MARTÍN (Univ. of La Laguna, Tenerife): Algunos resultados clásicos en la teoría de las aplicaciones armónicas univalentes
Wednesday, October 29, 2025 [16:00]: Carlos GÓMEZ CABELLO (Universidad
del País Vasco, Bilbao) On the point spectrum of composition operators on Hp spaces embedded into C0-semigroups
Monday, October 27, 2025 [16:00 - 17:30] (Minicourse, part 1): María José MARTÍN (Univ. of La Laguna, Tenerife): Algunos resultados clásicos en la teoría de las aplicaciones armónicas univalentes
Wednesday, September 10, 2025 [16:00]: María José MARTÍN (Univ. of La Laguna, Tenerife): Derivadas schwarzianas armónicas de orden superior
2024-25:
Wednesday, May 28, 2025 [15:00]: Dmitry YAKUBOVICH (UAM): A problem concerning subharmonic functions and related problems from operator theory
Wednesday, April 2, 2025 [15:00]: Sarah May INSTANES (NTNU, Trondheim, Norway) An optimization problem and point-evaluation in Paley—Wiener spaces SLIDES
Wednesday, March 26, 2025 [15:00]: Adrián LLINARES ROMERO (UAM) Critical exponents for the Riesz projection (blackboard talk)
Wednesday, March 5, 2025 [15:00]: F. Javier GONZÁLEZ DOÑA (U. Carlos III, Madrid) On commutants of composition operators embedded into C0−semigroups SLIDES
Wednesday, February 26, 2025 [15:00]:
Dragan VUKOTIC (UAM) On the Korenblum-Hayman domination principle for weighted Bergman spaces SLIDES
Wednesday, December 11, 2024 [15:30]: Carlos GÓMEZ CABELLO (Universidad
del País Vasco, Bilbao) Some classical operators on some Banach
spaces of Dirichlet series SLIDES
Wednesday, November 13, 2024 [15:30]: Iason EFRAIMIDIS (UAM): Hyperbolic convexity of holomorphic level sets
(blackboard talk)
Wednesday, October 30, 2024 [15:30]: Konstantinos BAMPOURAS (NTNU, Trondheim, Norway): Besov spaces and Schatten class Hankel operators on Paley-Wiener spaces of convex domains
Wednesday, October 23, 2024 [15:30]: Arturo FERNÁNDEZ ARIAS (UNED, Madrid): On the isolated singularities of the inverse of an entire function (blackboard talk)
Wednesday, October 16, 2024 [15:30]: Adrián LLINARES ROMERO (UAM): On the convolution of convex 2-gons (blackboard talk)
Wednesday, October 2, 2024 [15:30]: Sarah May INSTANES (NTNU, Trondheim, Norway) An extremal problem for Hp SLIDES
Wednesday, September 25, 2024 [15:30]: Alberto DAYAN (Saarland University, Saarbrücken, Germany) Random Carleson Measures in the Polydisc (blackboard talk)
Wednesday, September 18, 2024 [15:30]: Iván JIMÉNEZ (UAM, Madrid - ICAI, Universidad Pontificia de Comillas, Madrid) Counterexample of normability in Hardy and Bergman spaces with 0<p<1 SLIDES
2023-24:
Wednesday, June 26, 2024 [11:30]: George TSIKALAS (Washington
University, St. Louis, MO & Vanderbilt Univ., TN, USA)
Interpolating sequences for pairs of spaces SLIDES
Friday, April 26, 2024 [10:30]: Jorge ANTEZANA (UAM, Madrid) Frames and Riesz bases of dilated functions
Monday, February 26, 2024 [11:30]: Aristomenis SISKAKIS (Aristotle University of Thessaloniki, Greece) Operator theory from holomorphic semigroups SLIDES
Thursday, February 8, 2024 [11;30]: Pavel GUMENYUK (Politecnico di Milano, Italy) One-parameter semigroups and commuting univalent self-maps of the unit disk
Thursday, January 11, 2024 [11:30]: Jari TASKINEN (University of Helsinki, Finland) Recent results on operator theory in weighted Bergman spaces SLIDES
Thursday, November 16, 2023 [15:30]: Adrián LLINARES (Umeå University, Sweden) Restricciones de pesos de Békollé-Bonami SLIDES
2022-23:
Wednesday, June 14, 2023 [11:30]: Adrián LLINARES (Umeå University, Sweden): Desigualdades contractivas para espacios de Hilbert de funciones analíticas SLIDES
Thursday, Friday, June 2, 2023 [10:30]: Alexander SOLYNIN (Texas Tech, Lubbock,TX, USA): Isoperimetric inequalities for polygons: Available methods and open problem SLIDES
Tuesday, 23 May, 2023 [12:30]: Iason EFRAIMIDIS (UAM): Sobre funciones univalentes con segundo coeficiente prescrito
Friday, 3 March, 2023 [10:30]: Javad MASHREGHI (Université Laval, Quebec, Canada): Summation Theory in Dirichlet Spaces SLIDES
Wednesday, 22 February, 2023 [14:30]: Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Viña del Mar, Chile): Criterios de univalencia y teoremas de 2 puntos de distorsión para mapeos armónicos complejos SLIDES
Friday, 10 February, 2023 [10:30]: Ignacio URIARTE-TUERO (University of Toronto, Ontario, Canada): An operator theoretic application of two weight norm inequalities for singular integral operators in Rn
2021-22:
Friday, April 29, 2022: Iason EFRAIMIDIS (UAM): Aplicaciones armónicas y la derivada Schwarziana (Harmonic mappings and the Schwarzian derivative) SLIDES
Tuesday, February 1, 2022: [15:30 - 16:20, hybrid] Adrián LLINARES (UAM): Inclusiones contractivas entre espacios de norma mixta (prelectura de tesis)
2020-21:
Monday, May 31, 2021: [15:00 - 15:50, online] Alejandro MAS (UAM): Weighted composition operators and weighted conformal invariance (prelectura de tesis)
2018-19:
Friday, March 29, 2019: Alejandro MAS (UAM): TBA
Friday, March 1, 2019: [10:00-10:50] Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Chile) Always convex harmonic shears
Friday, February 22, 2019: Iason EFRAIMIDIS (Pontificia Universidad Católica de Chile): Criterios de univalencia y extensión cuasiconforme para aplicaciones armónicas
Wednesday, January 23, 2019: [10:45-12:45] Second Madrid International Workshop on Operator Theory and Function Spaces
Friday, October 19, 2018: Noel MERCHÁN (Universidad de Málaga): Composition semigroups on Morrey spaces
Tuesday, October 16, 2018: [12:00-13:00, 15:00-16:00] First Madrid international Workshop on Operator Theory and Function Spaces
2017-18:
Thursday, May 24, 2018: [14:30] María
José MARTÍN (UAM): On the harmonic Möbius transformations
Friday, May 11, 2018: Jukka TUOMELA (University of Eastern Finland, Joensuu) Navier-Stokes on manifolds
Thursday, May 3, 2018: Dragan VUKOTIC (UAM): Weighted composition operators: an axiomatic approach
Friday, April 20, 2018: Antti PERÄLÄ (BGSMath-Universitat de Barcelona): Duality of holomorphic Hardy type tent spaces
Monday, February 26, 2018: [12:00] Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Chile) Sobre el problema de univalencia de la función primitiva de (f')^\alpha con f univalente (On the problem of univalence of the primitive function of (f')^\alpha with f univalent)
2016-17:
Wednesday, June 28, 2017 [12:00]: Irina ARÉVALO (UAM): Prelectura de tesis: Operadores de composición ponderados entre espacios y clases de funciones analíticas (Weighted composition operators between spaces and classes of analytic functions)
Wednesday, May 31, 2017 [11:30]: Iason EFRAIMIDIS (UAM): Prelectura de tesis: Dos conjeturas sobre los coeficientes de las funciones univalentes (Two conjectures on the coefficients of univalent functions)
Wednesday, May 10, 2017 [9:45-10:30]: Alexandru ALEMAN (Lund University, Sweden): A factorization theorem for Hilbert spaces with reproducing kernel (2 hours)
Friday, February 17, 2017: Daniel ESTÉVEZ (UAM): Generación de álgebras de funciones analíticas y separación de singularidades (Generation of algebras of analytic functions and separation of singularities)
Friday, February 3, 2017: María
José MARTÍN (University of Eastern Finland, Joensuu): Criterios para la acotación de la valencia de funciones armónicas (Criteria for bounds for the valence of harmonic functions)
Wednesday, December 21, 2016: [12:00-12:50] Iason EFRAIMIDIS (UAM): La conjetura de Bombieri sobre las funciones univalentes (On Bombieri's conjecture on univalent functions)
Thursday, October 27, 2016: Iason EFRAIMIDIS (UAM): Sobre las funciones armónicas de tipo Bloch (On harmonic functions of Bloch type)
Friday, September 30, 2016: Irina ARÉVALO (UAM) Semigrupos de operadores de composición y operadores de Volterra en espacios de norma mixta (Semigroups of composition and Volterra operators in mixed-norm spaces)
2015-16:
Wednesday, December 16, 2015: [15:00-16:45] Pekka NIEMINEN (University of Helsinki, Finland), Short course (2 hours), Aleksandrov-Clark measures and composition operators
Friday, December 11, 2015: [10:00] Riikka SCHRODERUS (University of Helsinki, Finland), The spectra of linear fractional composition operators on weighted Dirichlet spaces
Tuesday, November 24, 2015: [15:00-16:45] Ignacio URIARTE-TUERO (Michigan State University, East Lansing, MI, USA), Short course (2 hours): Weighted inequalities and some applications to quasiconformal maps
Friday, November 20, 2015: Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece), Short course (2 hours): Integration operators on spaces of analytic functions
Friday, November 6, 2015: Arturo FERNÁNDEZ (UNED = National Open University, Madrid, Spain), On the meromorphic functions in the punctured plane without multiple values (slides)
Friday, October 23, 2015: María
José MARTÍN (University of Eastern Finland, Joensuu): Sobre las
soluciones de la ecuación de Euler incompressible (On the solutions of
Euler's incompressible equation)
2014-15:
F, July 17, 2015: Iason EFRAIMIDIS (UAM): Sobre las
desigualdades de Livingston para los coeficientes de las funciones con
la parte real positiva (On Livingston's coefficient inequalitiesfor functions with positive real part)
W, June 10, 2015: Hans-Olav J. TYLLI (University of Helsinki, Finland): Rigidity of composition operators on Hp-spaces [Rm. 420, 11:30]
W, May 27, 2015: Daniel SECO (University of Warwick, England, UK): Ciclicidad de polinomios en dos variables (Cyclicity of polinomials in two variables)
Th, May 14, 2015: Anton BARANOV (Saint Petersburg State University, Russia) Spectral
synthesis for systems of exponentials and reproducing kernels (Room change: 102, Mod. 17).
F, March 27, 2015: Irina ARÉVALO (UAM) Espacios de norma mixta de funciones analíticas en
el disco (Mixed-norm spaces of analytic functions in the disk)
F, November 28, 2014: Karl-Mikael PERFEKT (NTNU, Trondheim, Norway) On duality, distance and compact operators in spaces with supremum-type norms
F, October 10, 2014: Pekka NIEMINEN (University of Helsinki, Finland) Composition operators on BMOA
2013-14:
Tuesday, July 15, 2014: Rodrigo HERNÁNDEZ (Universidad Adolfo Ibáñez, Chile) Criterios de univalencia para mapeos armónicos
Wednesday, July 9, 2014: María José MARTÍN (University of Eastern Finland, Joensuu) On certain linear invariant families of harmonic mappings
Friday, July 4, 2014: Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece) On mean Lipschitz spaces
July 1--7,2014 (Minicourse): Kristian SEIP (NTNU, Trondheim, Norway): Function Theory on the polydisk
- Part I, Tuesday, July 1, 2014 (11:00-13:00): BASICS
OF DIRICHLET SERIES AND FUNCTION THEORY IN THE POLYDISC. Pointwise
estimates, Hilbert’s inequality, Boundary values, Zero sets,
interpolating sequences
- Part II, Thursday, July 3, 2014
(11:00-13:00): OPERATOR THEORY ON HARDY SPACES OF DIRICHLET
SERIES.Helson’s Riesz projection, Riesz projection onto H2, Multiplier
algebras, Hankel forms, Composition operators
- Part III,
Monday, July 7, 2014 (15:00-17:00): INTERACTION WITH NUMBER THEORY. The
Sidon constant for Dirichlet polynomials, Norm estimates consistent
with conjectures for moments of the Riemann zeta function, GCD sums and
matrices.
May 5--7,2014 (Minicourse): Alexandru ALEMAN (Lund University, Sweden): Invariant subspaces for the shift operator (preliminary working title),
two 90' lectures during the class meetings of Advanced Course in Analysis (Master's Program)
-
Part I, Monday, May 5, 2014: Three examples: invariant subspaces of
multiplication, Volterra, and shift operators. Theorems of Wiener,
Donoghue, and Beurling. Wold decomposition. Hereditary inequalities.
- Part II, Wednesday, May 7: Two-isometries. Invariant subspaces on the Dirichlet space. Shimorin's proof of the Aleman-Richter-Sundberg theorem for Bergman spaces.
Friday, April 11, 2014: Gerardo R. CHACÓN (Pontificia Universidad Javeriana, Bogotá, Colombia): Espacios de Bergman con Exponente Variable (Bergman spaces with variable exponents) abstract slides
Thursday, December 12, 2013: Janne HEITTOKANGAS (University of Eastern Finland, Joensuu, Finland): On Blaschke-oscillatory and Blaschke-critical differential equations abstract
Thursday, October 17, 2013: Peter L. DUREN (University of Michigan, Ann Arbor, USA): The Schwarzian norm and distortion of conformal mappings
Friday, October 4, 2013: Dragan VUKOTIC (UAM): Extremal problems for
non-vanishing analytic functions abstract
Friday, September 6, 2013: Miroljub JEVTIC (University of Belgrade, Serbia), Informal presentation of the book draft "Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-type Spaces"
2012-13
Friday, April 26, 2013: Alicia CANTÓN PIRÉ (Univ. Politécnica de Madrid), Valores asintóticos de aplicaciones cuasirregulares abstract
Friday, March 15, 2013: María José MARTÍN GÓMEZ (UAM), Aplicaciones armónicas univalentes en el plano abstract slides
Friday, March 1, 2013: Jesús MUNÁRRIZ ALDAZ (UAM), The centered Hardy-Littlewood maximal operator in high dimensions abstract slides
February 1, 2013: Carl COWEN (IUPUI, Indianapolis, IN, USA & Universidad Complutense de Madrid) Some Old and Some New Thoughts on Commutants of Analytic
Multiplication
Operators abstract slides
December 21, 2012 (Informal minicourse): Dragan VUKOTIC (UAM) Acerca de la conjetura de Krzyz.
2011-12:
June 25-28, 2012 (Minicourse): Anna-Maria PERSSON (Lund University, Sweden): Spectral properties of the Cesàro operator acting on various spaces of analytic functions SLIDES
- Part I (June 25): introduction, spectrum of the Cesàro operator in various function and sequence spaces.
- Part II (June 28): Presentation of various technical details of proofs. Generalizations to various functional Banach space.
June 1, 2012 (Jointly with the Analysis Seminar): Ignacio URIARTE-TUERO (Michigan State University, East Lansing, MI, USA) Two-weight inequality for the Hilbert transform: A real variable characterization
May 21-23, 2012 (Minicourse): Ignacio URIARTE-TUERO (Michigan State University, East Lansing, MI, USA) Desigualdades con pesos (Weighted norm inequalities)
-
Part I (May 21): Introducción a técnicas de dos pesos para el operador
maximal de Hardy-Littlewood. Un trabajo de Sawyer de 1982.
-
Part II (May 23): Introducción a las aplicaciones cuasiconformes.
Demostración de la desigualdad con pesos utilizada en la solución de la
conjetura de Astala (trabajo conjunto con Michael Lacey y Eric Sawyer).
May 7-9, 2012 (Minicourse): Aristomenis SISKAKIS (Aristotle University, Thessaloniki, Greece) The Hilbert Matrix Operator on Spaces of Analytic Functions SLIDES
-
Part I: (May 07, 2012) :Introduction. The Hilbert matrix on Hardy
spaces. The Hilbert matrix on Bergman spaces. Some representations.
- Part II (May 09, 2012): The point spectrum on Hardy spaces. Generalized Hilbert operators.
March 2, 2012: David SHOIKHET (The Galilee Research Center for Applied Mathematics, ORT Braude College, Israel) Old and New in Complex Dynamical Systems
February 24, 2012: Rodrigo HERNÁNDEZ REYES (Universidad Adolfo Ibáñez, Viña del Mar, Chile; UAM) La derivada pre-Schwarziana para mapeos armónicos del plano y el criterio de Becker
January 26, 2012 (Informal seminar): José A. BONET SOLVES (Univ. Politécnica de Valencia) Operadores de derivación e integración en espacios ponderados de funciones enteras
2010-11:
June 10, 2011: Daniel Estévez (UAM) Localización de ceros de funciones racionales y el estudio de la calidad de un regulador óptimo lineal cuadrático
April 28--29, 2011 (Minicurso): Daniel Girela (Universidad de Málaga) Medias integrales de funciones univalentes y sus derivadas
February 25, 2011: María José Martín (UAM) Estabilidad de familias de funciones armónicas univalentes
February 18, 2011: Sebastián Lajara (Universidad de Castilla - La Mancha) Sobre los módulos de convexidad y diferenciabilidad
February 15--17, 2011 (Minicurso): Rodrigo Hernández (Universidad Adolfo Ibáñez, Viña del Mar, Chile) y María José Martín (UAM) Aplicaciones armónicas univalentes. Programa: Derivada
Schwarziana para las funciones analíticas localmente univalentes.
Criterios de univalencia de tipo Nehari. Funciones armónicas
univalentes: la definición de la Schwarziana a través del levantamiento
a las superficies mínimas (Chuaqui, Duren y Osgood). Estabilidad
de las funciones armónicas univalentes. Resultados recientes y
problemas abiertos. Nueva definición de la Schwarziana para una clase
más amplia de funciones armónicas, desde el punto de vista analítico.
Primeras propiedades y problemas abiertos
February 11, 2011: Marta Llorente (UAM, Facultad de Económicas) Un algoritmo para el cálculo de medidas tipo Hausdorff
January 14, 2011: Rodrigo Hernández (Universidad Adolfo Ibáñez, Viña del Mar. Chile) La derivada Schwarziana en una y varias variables
December 20, 2010: Pavel Gumenyuk (University of Bergen, Norway; Universidad de Sevilla, Spain) Loewner Theory: new approach to a classical topic
2009-10:
June 24, 2010: Willy Sierra Arroyo (Universidad Pontificia Católica de Chile, Santiago de Chile) Dominios de John sobre una clase de superficies mínimas
June 10, 2010: Anton Baranov (Saint Petersburg State University) Truncated Toeplitz operators:
existence of bounded symbols
June 4, 2010: María Auxiliadora Márquez (Universidad de Málaga) Operadores de superposición entre espacios Qp y espacios de Hardy
June 4, 2010: Dragan Vukotic (UAM) Operadores de superposición entre espacios de funciones analíticas: introducción, motivación y algunos resultados recientes