Fernando Soria

Catedrático de Análisis Matemático
Coordinador de TFG en Matemáticas

Despacho: Módulo 17, 403 
Teléfono: 91 497 4796

  • Research Projects
  • Analysis Seminar
  • PDE Seminar




Personal data:


Fernando Soria

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Professional address:

Department of Mathematics

Facultad de Ciencias, mod. 17

Universidad Autónoma de Madrid (UAM)

28049-Madrid (SPAIN)


(+34) 91 497 4796







1979 B.A., Universidad Complutense de Madrid (Spain)

1983 Ph.D., Washington University in St. Louis, USA



2. Positions held:


1992-present, Professor of Mathematics, Universidad Autónoma de Madrid

2009-2010, Fall Semester, Visiting Professor at University of Texas, Austin

2001-2002, Fall Semester, Visiting Fellow at Washington University, St. Louis

1997-1998, Fall Semester, Member of the M.S.R.I., Berkeley

1990-1991, Member of the Institute for Advanced Study, Princeton

1987-1992, Associate Professor, Universidad Autónoma de Madrid

1987-1988, Spring Semester, Member of the M.S.R.I., Berkeley

1985-1987, Research Assistant Professor, Universidad Autónoma de Madrid

1983-1985, Dickson Instructor at the University of Chicago



3. Grants and Fellowships:


·       Current Research Grants from Spanish MINECO, for the periods 2014-17 and 2017-19

·       Special Grant “Campus of Excellence”, Doctoral Program in Mathematics at UAM (head
of the project, period 2012-2016)

·       Research Grants from Spanish SEIDI, 2011-2014

·       Research Contracts with the European Union Commission, 1997-2001 and 2002-2006

·       Research Grants from Spanish DGU, 1997-01, 2001-04, 2004-07 and 2007-10

·       Research Contract with the European Union Commission,1993-96

·       NSF Grant, membership at the Institute for Advanced Study, Princeton (USA), 1990/91

·       Fellowship from Chalmers Technical University, Göteborg (Sweden), Spring of 1990

·       Research Grants from Spanish DGICYT, 1987-90, 1990-94, 1994-97

·       Grants from the British Council, cooperation between University of Sussex and UAM,
1986/87 and 1987/88

·       NSF Grants at the University of Chicago, 1984 and 1985



4. Professional Activities and Service to the Mathematical Community:


·       Reviewer for

o   National Science Foundation (NSF), USA.

o   Research Council of Canada (NSERC).

o   Agencia Nacional de Evaluacion y Prospectiva (ANEP), Spain.

o   Physical and Mathematical Sciences Research Council (EPSRC), U.K.

o   Agence d'evaluation de la recherche et de lenseignement supérieur (AERES), France.

·       Member of the Board of Editors, Journal of Fourier Analysis and Applications, 2004-08

·       Organizer, International Conferences on Fourier Analysis and Partial differential Equations,
years 1992, 1996, 2000, 2004, 2008 and 2012

·       Chairman of the Department of Mathematics, UAM (1993-96 and 2004-05)

·       Member of the Executive Committee of the International Congress of Mathematicians,
ICM-2006, Madrid (Spain)

·       Head of the Graduate Committee, Doctoral Program in Mathematics at UAM, 2008-16



5. Selected Addresses:


·       Inaugural Talk, International Conference on Harmonic Analysis and Partial Differential
Equations, Chern Institute of Mathematics, Tianjin, 2014

·       Main Speaker, International Conference on Harmonic Analysis and Applications,
Beijing, 2009

·       5-hour course speaker at the Summer School of Padova, Universita di Padova, 2003

·       Invited Lecture. Workshop on Harmonic Analysis and Combinatory, Schrödinger
Institute, Vienna, 2003

·       Invited Lecture. Joint AMS-SIAM Summer Conference on Harmonic Analysis, Mount
Holyoke College, MA, 2001

·       Main Lecture. Show-me Conference, Washington University, 2001

·       5-hour course speaker of 'Instructional Conference', at I.C.M.S., Edinburgh, 1994

·       Invited Lecture. Conference in honor of Guido Weiss, at receiving an honorary degree
from U. di Milano, 1994

·       Invited Lecture. Colloque en L'honneur de Jean-Pierre Kahane, Paris, 1993

·       Invited Lecture. Calderón-Zygmund seminar, University of Chicago, Chicago, IL, 1991.

·       Colloquium Lecturer. Purdue University, IN, 1991

·       Invited Lecture. First Göteborg Harmonic Analysis Conference, 1990

·       Talk in special session on Harmonic Analysis, AMS meeting, San Diego, CA, 1984

·       Invited Lecture. Second Italian-American conference on harmonic analysis, Cortona,
Italy, 1982



6. Ph.D. students:


·       Trinidad Menárguez (degree received in 1990)

·       Elena Romera (1991)

·       Ana Vargas (1993)

·       Sonsoles Pérez (1996)

·       Ma. Ángeles Alfonseca (2003, co-directed with A. Vargas)

·       Adrián Infante (2005)

·       Alberto Criado (2012)

·       Begoña Barrios (2013, co-directed with I. Peral)

7. Selected research publications:


·       Barrios, Begoña; Colorado, Eduardo; Servadei, R.; Soria, Fernando; A critical fractional
equation with concave–convex power nonlinearities. Ann. Inst. H. Poincaré Anal. Non
Linéaire vol. 32 (5) (2015)

·       Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando; Basic estimates for solutions
of a class of nonlocal elliptic and parabolic equations. Discrete Contin. Dyn. Syst.-A (DCDS-A)
vol. 35, (2015) no. 12

·       Barrios, Begoña; Peral, Ireneo; Soria, Fernando; Valdinoci, Enrico; A Widder's type theorem for
the heat equation with nonlocal diffusion. Arch. Ration. Mech. Anal. 213 (2014), no. 2, 629–650.

·       Sjölin, Per; Soria, Fernando; Estimates for multiparameter maximal operators of Schrödinger type.
J. Math. Anal. Appl. 411 (2014), no. 1, 129–143.

·       Criado, Alberto; Soria, Fernando; Localization and dimension free estimates for maximal functions.
J. Funct. Anal. 265 (2013), no. 10, 2553–2583.

·       Caffarelli, Luis; Soria, Fernando; Vázquez, Juan; Regularity of solutions of the fractional porous
medium flow. J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1701–1746.

·       Hernández, E.; Nielsen, M.; Šikić, H.; Soria, F. Democratic systems of translates. J. Approx.
Theory 171 (2013), 105–127.

·       MJ Carro; L. Grafakos; J. Martell; F. Soria “Multilinear Extrapolation And Applications to the
Bilinear Hilbert Transform”. J. Math. Anal. Appl., 357 (2009), no. 2, 479--497

·       Gigante, Giacomo and Soria, Fernando, “On the boundedness on H1/4 of the square maximal
function associated with the Schrödinger equation”. Journal London Math. Soc. (2) 77 (2008),
no. 1, 51—68

·       Carbery, A; F. Soria and A. Vargas, “Localisation and weighted inequalities for spherical Fourier
means”. Journal d’Analyse Math. 103 (2007), 133—156

·       P. Bégout, F. Soria, “A generalized interpolation inequality and its application to the stabilization
of damped equations”. J. Differential Equations 240 (2007), no. 2, 324--356.

·       J. Bennett, A. Carbery, F. Soria and A. Vargas, “A Stein Conjecture for the Circle”. Math. Annalen
336 (3) (2006) 671-695.

·       G. Garrigós; E. Hernández; H. Sikic; F. Soria, “Further results on the connectivity of Parseval
frame wavelets”.  Proc. Amer. Math. Soc 134 (2006), n.11, 3211-3221

·       MJ Carro; C. Pérez; J. Soria; F. Soria, “Maximal functions and the control of weighted inequalities
for the fractional integral operator”. Indiana U. Math J. 54 (2005) n 3, 627-644

·       L. Grafakos; J. Martell; F. Soria, “Weighted inequalities for maximally modulated singular integrals”.
Math. Annalen 331 (2005), n 2, 359-394

·       P. Sjögren and F. Soria, “Sharp integrability for the maximal operator associated to the Gaussian
and other radial measures”. Advances in Mathematics 181, (2004), no.2, 251-274

·       Per Sjölin and F. Soria, “Remarks on a Theorem of N.Yu Antonov”. Studia Mathematica 158 (1),
79--97 (2003).

·       A. Alfonseca; F. Soria; A. Vargas, “A remark on maximal operators along directions in R2 ”.
Math. Res. Lett.  10  (2003), no. 1, 41--49.

·       G. Gigante and F. Soria, “Sharp estimates for oscillatory integrals associated with the Schrödinger
equation”. Int. Math. Res. Not.  (2002), no. 24, 1275--1293.

·       Ireneo Peral; F. Soria, “A note on W {1,p} estimates for quasilinear parabolic equations". Electron.
J. Differ. Equ. Conf., 8, (2002) 121--135.

·       M. Grigorian, K. Kazaros, F. Soria, “Mean convergence of orthogonal Fourier series of modified
functions”. Trans. Amer. Math. Soc. Vol. 352, 8 (2000), 3777-3798

·       S. Pérez, F. Soria, “Higher order Riesz transforms associated to the Ornstein-Uhlenbeck semigroup”.
Jour. London Math. Society 61 (2000), 857-871

·       T. Menárguez, S. Pérez, F. Soria, “A geometric proof of the boundedness of the maximal Mehler
transform”. Jour. London Math. Society 61 (2000), 846-856

·       Anthony Carbery, F. Soria, “Pointwise Fourier inversion and localization in Rn ”. Jour. of Fourier
Analysis and Applications, (1997), vol. 3, 845-858

·       P. Sjögren and F. Soria, “Rough maximal functions and rough singular integral operators applied
to integrable radial functions”. Revista Mat. Iberoamericana, Vol. 13, no. 1 (1997), 1-18.

·       K.S. Kazarian,  F. Soria and I. Spitkovsky, “Riemann's boundary value problem in weighted spaces
with singularities”. Doklady Math. RAN, Vol. 55, no. 2 (1997), 260-262.

·       P. Sjögren and F. Soria, “Weak type (1,1) estimates for some integral operators related to rough
maximal functions”. Israel J. of Math. 95 (1996), 211-229

·       D. Müller and F. Soria, “A double L2-weighted inequality for the Kakeya maximal function”. Jour.
of Fourier Analysis and Applications, (1995), 467-478

·       F. Soria and G. Weiss, “A Remark on Singular Integrals and power weights”. Indiana Univ. Math.
Journal, 43 n.1 (1994), 187-204

·       Aline Bonami, F. Soria and G. Weiss, “Band-limited wavelets”. Jour. of Geometrical Analysis 3,
n.6 (1993) 543-578

·       Carbery, E. Romera and F. Soria, “Radial weights and mixed norm inequalities for the disc multiplier”.
Jour. Functional Analysis 109, n.1 (1992), 52-75

·       F. Soria “On an extrapolation theorem of Carleson-Sjölin with applications to a.e. convergence of
Fourier Series”. Studia Mathematica, v. XCIV (1989) 43-52

·       W. Beckner, A. Carbery, S. Semmes and F. Soria, “A note on the restriction of the Fourier transform to
spheres”. Bull. London Math. Soc. 21 (1989), 394-398

·       F. Soria, “A remark on A1 weights for the strong maximal function”. Proc. Amer. Math. Soc.,
vol. 100, n. 1 (1987) 46-48 

·       F. Soria, “A note on a Littlewood-Paley inequality for arbitrary intervals in R2 ”. Journal of the
London Math. Society (2) 36 (1987), 137-142

·       R. Fefferman and F. Soria, “On the space weak-H1 ”. Studia Mathematica Vol. LXXXV, (1987) 1-16

·       F. Soria “Examples and counterexamples to a conjecture in the theory of differentiation of integrals”.
Annals of Mathematics, vol. 123 (1986), 1-9.

·       F. Soria, “Characterizations of classes of functions generated by blocks and associated Hardy spaces”.
Indiana U. Journal of Mathematics vol. 34 (1985) 463-492