AFA
Departamento de Matemáticas
Facultad de Ciencias

Análisis de Fourier y Aplicaciones
MEC MTM2007-60952

Publicaciones y Prepublicaciones

Auscher, P.; Martell, J.M., Weighted norm inequalities, off-diagonal estimates and elliptic operators. I. General operator theory and weights. Adv. Math. 212 (2007), no. 1, 225-276.
Auscher, P.; Martell, J.M., Weighted norm inequalities, off-diagonal estimates and elliptic operators. II. Off-diagonal estimates on spaces of homogeneous type. J. Evol. Equ. 7 (2007), no. 2, 265-316.
Auscher, P.; Martell, J.M., Weighted norm inequalities, off-diagonal estimates and elliptic operators. IV. Riesz transforms on manifolds and weights. Math. Z. 260 (2008), no. 3, 527-539.
Auscher, P.; Martell, J.M., Weighted norm inequalities for fractional operators. Indiana Univ. Math. J. 57 (2008), no. 4, 1845-1869.
Auscher, P.; Martell, J.M., Weighted norm inequalities, off-diagonal estimates and elliptic operators. Harmonic Analysis and Partial Differential Equations, Contemporary Mathematics, vol. 505, Amer. Math. Soc., Providence, RI, 2010, 61-83.
Barceló, J. A.; Bennett, J. M.; Carbery, A. A note on localised weighted inequalities for the extension operator. J. Aust. Math. Soc. 84 (2008), no. 3, 289--299.
Barceló, J. A.; Bennett, J. M.; Carbery, A.; Ruiz, A.; Vilela, M. C. A note on weighted estimates for the Schrödinger operator. Rev. Mat. Complut. 21 (2008), no. 2, 481--488.
Barceló, J. A.; Bennett, J. M.; Carbery, A.; Ruiz, A.; Vilela, M. C. Some special solutions of the Schrödinger equation. Indiana Univ. Math. J. 56 (2007), no. 4, 1581--1593.
Barceló, J.A., Faraco, D.; Ruiz, A.; Vargas, A.; Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers. Math. Ann 346 (2010) 505-544.
Bégout, P. and Soria, F. A generalized interpolation inequality and its application to the stabilization of damped equations. J. Differential Equations 240 (2007), no. 2, 324--356.
Begout P., Vargas A., Mass Concentration Phenomena for the $L^2$-Critical Nonlinear Schrödinger Equation. Trans. Amer. Math. Soc. 359 (2007), 5257--5282.
Békollé D., A. Bonami, G. Garrigós, F. Ricci, B. Sehba, Analytic Besov spaces and Hardy-type inequalities in tube domains over cones. To appear in J. Reine Angew. Math.
Bennett, J.; Bez, N.; Carbery, A.; Hundertmark, D. Heat-flow monotonicity of Strichartz norms. Anal. PDE 2 (2009), no. 2, 147--158.
Bennett, J.; Carbery, A.; Christ, M.; Tao, T., The Brascamp-Lieb inequalities: finiteness, structure and extremals. Geom. Funct. Anal. 17 (2008), no. 5, 1343--1415.
Betancor J., J. Dziubanski, G. Garrigós, Riesz transform characterization of Hardy spaces associated with certain Laguerre expansions. To appear in Tohoku Math Jour.
Bonami A., G. Garrigós, P. Jaming, Discrete radar ambiguity problems. Appl. Comput. Harm. Anal. 23 (3) (2007), 388-414.
Bonami A., Garrigós G. y Nana C., Estimations with loss for Bergman projections in bounded symmetric domains of tube type. Preprint 2010.
Bongioanni B., Rogers K.M., Regularity of the Schrödinger equation for the harmonic oscillator. Ark. Mat., DOI: 10.1007/s11512-009-0117.
Carbery, Anthony Almost-orthogonality in the Schatten-von Neumann classes. J. Operator Theory 62 (2009), no. 1, 151--158.
Carbery, A., Large sets with limited tube occupancy. J. Lond. Math. Soc. (2) 79 (2009), no. 2, 529--543.
Carbery, A.; Kenig, C.; Ziesler, S. Restriction for flat surfaces of revolution in $\bold R^3$. Proc. Amer. Math. Soc. 135 (2007), no. 6, 1905--1914 (electronic).
Carbery A., Soria F., Vargas A., Localisation and Weighted Inequalities for Spherical Fourier Means. J. Anal. Math, 103 (2007), 133--156.
Carro, M.; Grafakos, L.; Martell, J. and Soria, F. Multilinear Extrapolation And Applications To The Bilinear Hilbert Transform. J. Math. Anal. Appl., 357 (2009), no. 2, 479-497.
Cruz-Uribe, D.; Martell, J. M.; Pérez, C., Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture. Adv. Math. 216 (2007), no. 2, 647-676.
Cruz-Uribe, D.; Martell, J. M.; Pérez, C., Weights, extrapolation and the theory of Rubio de Francia. Preprint 2009.
Faraco D. y Rogers K.M., On the stability of the Calderón inverse problem on rough planar domains, enviado.
Garrigós G., Möbius invariance of analytic Besov spaces in tube domains over symmetric cones. To appear in Colloq. Math.
Garrigós G., E. Harboure, T. Signes, J.L. Torrea, B. Viviani, A sharp weighted transplantation theorem for Laguerre function expansions. Jour. Funct. Anal. 244 (2007), 247-276.
Garrigós, G., Hernández, E., Martell, J.M., Wavelets, Orlicz spaces, and greedy bases., Appl. Comp. Harm. Anal., 24, (2008), 70-93.
Garrigós, G., Hernández, E., Natividade, M. de, Democracy functions and sharp embeddings for approximation spaces, Preprint, 2009.
Garrigós G., A. Seeger, Characterizations of Hankel multipliers. Math. Ann. 342 (1) (2008), 31-68.
Garrigós G., A. Seeger, On plate decompositions of cone multipliers. Proc. Edin. Math. Soc. 53 (3) (2009), 631-651.
Garrigós G., A. Seeger, A note on maximal operators associated with Hankel multipliers. Rev. Un. Mat. Argentina 50 (2) (2009), 137-148.
Garrigós, A. Seeger, A mixed norm variant of Wolff's inequality for paraboloids. To appear in Contemporary Mathematics 505 "Proceedings of the 8th International Conference in Harmonic Analysis and PDEs, El Escorial 2008", pp 179-198.
Garrigós G., Schlag W. y Seeger A., Improvements on Wolff's inequality for the cone multiplier. Preprint 2009.
Gigante, G. and Soria, F. 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.
Hernández, E., Martell, J.M., Natividade, M. de, Quantifying democracy of wavelet bases in Lorentz spaces., Preprint, 2008.
Hernández, E., Sikic, H., Weiss, G., Wilson, E., On the properties of the integer translates of a square integrable function in L2(R). Accepted, Proceedings of El Escorial 2008
Hernández, E., Sikic, H., Weiss, G., Wilson, E., Cyclic subspaces for unitary representations of LCA groups: generalized Zak transform., Proceedings of the Conference in honor of A. Hulaniki, Poland, 2008.
Hofmann, S.; Martell, J.M., A note on $A_\infty$ estimates via extrapolation of Carleson measures. Proceedings of the Workshop in Spectral Theory and Harmonic Analysis (Canberra 2009).
Hofmann, S.; Martell, J.M., $A_\infty$ estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators. Preprint 2009.
Infante, A. and Soria, F. "On the maximal operator associated to certain rotational invariant measures". Aceptado en Acta Mathematica Sinica (2010).
Jiménez-del-Toro, A., Exponential self-improvement of generalized Poincaré inequalities associated with approximations of the identity and semigroups. Preprint 2009.
Jiménez-del-Toro, A.; Martell, J.M., Self-improvement of Poincaré type inequalities associated with approximations of the identity and semigroups. Preprint 2009.
Junge M. and Parcet J., Operator space embedding of Schatten p-classes into von Neumann algebra preduals. Geom. Funct. Anal. 18 (2008), 522-551.
Junge M. and Parcet J., Rosenthal's theorem for subspaces of noncommutative Lp. Duke Math. J. 141 (2008), 75-122.
Junge M. and Parcet J., Mixed-norm inequalitirs and operador space Lp embedding theory. Mem. Amer. Math. Soc. 952, 2010.
Junge M. and Parcet J., Maurey's factorization teory for operador spaces. Aceptado en Math. Ann.
Junge M. and Parcet J., A transference method in quantum probability. Aceptado en Adv. Math.
Junge M., Parcet J. and Xu Q., Rosenthal type inequalities for free chaos. Ann. Probab. 35 (2007), 1374-1437.
Kazarian, K. and Soria, F. "Weights with singularities and associated weighted Hp". Acta Sci. Math. (Szeged) 73 (2007), no. 1-2, 175--192.
Keraani, S., Vargas, A., A smoothing property for the $L^2$-critical NLS equations and an application to blowup theory. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), 745--762.
Lee S., Rogers, K., Vargas A., Sharp null form estimates for the wave equation in $\Bbb R^{3+1}$. Int. Math. Res. Not. 2008, 18 pp.
Lee S., Vargas A., Sharp Null Form Estimates for the Cone, Amer. J. Math. 130 (2008), 1279--1326.
Lorente M.; Martell, J.M.; Pérez, C.; Riveros, M.S., Generalized Hörmander conditions and weighted endpoint estimates. Studia Math. 195 (2009), no. 2, 157-192.
Lorente, M.; Martell, J.M.; Riveros, M.S.; de la Torre, A., Generalized Hörmander's conditions, commutators and weights. J. Math. Anal. Appl. 342 (2008), no. 2, 1399-1425.
Marco J.M. and Parcet J., Laplacian operators and Radon transforms in Grassmann graphs. Monatsh. Math. 150 (2007), 97-132.
Mei T. and Parcet J., Pseudo-localization of singular integrals and noncommutative Littlewood-Paley inequalities. Int. Math. Res. Not. 9 (2009), 1433-1487.
Parcet J., Weak type estimates associated to Burkholder's martingale inequality. Rev. Mat. Iberoamericana 23 (2007), 1011-1037.
Parcet J., Pseudo-localization of singular integrals and noncommutative Calderón-Zygmund theory. J. Funct. Anal. 256 (2009), 509-593.
Rogers K.M., Unconditional well-posedness for subcritical NLS in Hs. C.R. Math. Acad. Sci. Paris 345 (2007), no. 7, 395-398.
Rogers K.M., A local smoothing estimate for the Schrödinger equation. Adv. Math. 219 (2008), no. 6, 2105-2122.
Rogers K.M., Strichartz estimates via the Schrödinger maximal operator. Math. Ann. 343 (2009), no. 3, 603-622.
Rogers K.M. y Seeger A., Endpoint maximal and smoothing estimates for the Schrödinger equations. J. Reine Angew. Math., aparecerá.
Rogers K.M. and Villarroya P., Global estimates for the Schrödinger maximal operator. Ann. Acad. Sci. Fenn. Math. 32 (2007), 425-435.
Rogers K.M. and Villarroya P., Sharp estimates for maximal operators associated to the wave equation. Ark. Mat. 46 (2008), 143-151.
Soria, F., Five lectures on harmonic analysis. Topics in mathematical analysis. Ser. Anal. Appl. Comput., 3, World Sci. Publ., Hackensack, NJ, 2008, 361-412
Sjölin, P. and Soria, F. A note on multiparameter maximal operators of Schrödinger type. Aceptado en Revista Mat. Complutense (2010)
Sjölin, P. and Soria, F. Estimates for multiparameter maximal operators of Schrödinger type. Enviado a publicar