Research papers

Riesz-Schur transforms

Ann. Sci. École Norm. Sup. To appear.

Authors: A.M. González-Pérez, J. Parcet, J. Pérez-García and É. Ricard

The impact of Schur multipliers in harmonic analysis and operator algebras

Proceedings ICM 2026. To appear.

Authors: J. Parcet

Noncommutative Cotlar identities for groups acting on tree-like structures

J. Inst. Math. Jussieu. To appear.

Authors: A.M. González-Pérez, J. Parcet and R. Xia

The local geometry of idempotent Schur multipliers

Forum Math Pi. 13 (2025), e14.

Authors: J. Parcet, M. de la Salle and E. Tablate

A Hörmander-Mikhlin theorem for higher rank simple Lie groups

J. London Math. Soc. 111 (2025), e70137, 22 pp.

Authors: J.M. Conde-Alonso, A.M. González-Pérez, J. Parcet and E. Tablate

Maximal weak Orlicz types and the strong maximal on von Neumann algebras

Studia Math. 285 (2025), 235-255.

Authors: A.M. González-Pérez, J. Parcet and J. Pérez-García

Trigonometric chaos and Xp inequalities II — Xp inequalities in group von Neumann algebras

Illinois J. Math. 69 (2025), 23-41.

Authors: A.I. Cano-Mármol, J.M. Conde-Alonso and J. Parcet

Trigonometric chaos and Xp inequalities I — Balanced Fourier truncations over discrete groups

Anal. & PDE. 17 (2024), 2561–2584

Authors: A.I. Cano-Mármol, J.M. Conde-Alonso and J. Parcet

Schur multipliers in Schatten-von Neumann classes

Ann. of Math. 198 (2023), 1229-1260.

Authors: J.M. Conde-Alonso, A.M. González-Pérez, J. Parcet and E. Tablate

Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory

J. Math. Pures Appl. 163 (2022), 450-472.

Authors: L. Cadilhac, J.M. Conde-Alonso and J. Parcet

Fourier multipliers in SL_n (R)

Duke Math. J. 171 (2022), 1235-1297.

Authors: J. Parcet, É. Ricard and M. de la Salle

Algebraic Calderón-Zygmund theory

Adv. Math. 376 (2021), 107443.

Authors: M. Junge, T. Mei, J. Parcet and R. Xia

Singular integrals in quantum Euclidean spaces

Mem. Amer. Math. Soc 272, 2021.

Authors: A.M. González-Pérez, M. Junge and J. Parcet

Noncommutative strong maximals and almost uniform convergence in several directions

Forum Math Sigma. 8 (2020), e57.

Authors: J.M. Conde-Alonso, A.M. González-Pérez and J. Parcet

The Hausdorff-Young inequality on Lie groups

Math. Ann. 375 (2019), 93-131.

Authors: M.G. Cowling, A. Martini, D. Müller and J. Parcet

Nondoubling Calderón-Zygmund theory -- A dyadic approach

J. Fourier Anal. Appl. 25 (2019), 1267-1292.

Authors: J.M. Conde-Alonso and J. Parcet

On spectral gaps of Markov maps

Israel J. Math. 226 (2019), 189-203.

Authors: J.M. Conde-Alonso, J. Parcet and É. Ricard

Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers

J. Eur. Math. Soc. 20 (2018), 529-595.

Authors: M. Junge, T. Mei and J. Parcet

Hypercontractivity in group von Neumann algebras

Mem. Amer. Math. Soc. 1183, 2017.

Authors: M. Junge, C. Palazuelos, J. Parcet and M. Perrin

Smooth Fourier multipliers in group algebras via Sobolev dimension

Ann. Sci. École Norm. Sup. 50 (2017), 879-925.

Authors: A.M. González-Pérez, M. Junge and J. Parcet

Asymmetric Doob inequalities in continuous time

J. Funct. Anal. 273 (2017), 1479-1503.

Authors: G. Hong, M. Junge and J. Parcet

Algebraic Davis decomposition and asymmetric Doob inequalities

Comm. Math. Phys. 346 (2016), 995-1019.

Authors: G. Hong, M. Junge and J. Parcet

Atomic blocks for noncommutative martingales

Indiana Univ. Math. J. 65 (2016), 1425-1443.

Authors: J.M. Conde-Alonso and J. Parcet

Twisted Hilbert transforms vs Kakeya sets of directions

J. Reine Angew. Math. 710 (2016), 137-172.

Authors: J. Parcet and K.M. Rogers

Directional maximal operators and lacunarity in higher dimensions

Amer. J. Math. 137 (2015), 1535-1557.

Authors: J. Parcet and K.M. Rogers

Noncommutative de Leeuw theorems

Forum Math Sigma 3 (2015), e21.

Authors: M. Caspers, J. Parcet, M. Perrin and É. Ricard

Hypercontractivity for free products

Ann. Sci. École Norm. Sup. 48 (2015), 861-889.

Authors: M. Junge, C. Palazuelos, J. Parcet, M. Perrin and É. Ricard

Riesz and frame systems generated by unitary actions of discrete groups

Appl. Comput. Harmon. Anal. 39 (2015), 369-399.

Authors: D. Barbieri, E. Hernández and J. Parcet

Large BMO spaces vs interpolation

Anal. & PDE 8 (2015), 713-746

Authors: J.M. Conde-Alonso, T. Mei and J. Parcet

Hypercontractivity in finite-dimensional matrix algebras

J. Math. Phys.56 (2015), 023505.

Authors: M. Junge, C. Palazuelos, J. Parcet and M. Perrin

Smooth Fourier multipliers in group von Neumann algebras

Geom. Funct. Anal. 24 (2014), 1913-1980.

Authors: M. Junge, T. Mei and J. Parcet

Dyadic harmonic analysis beyond doubling measures

Adv. Math. 267 (2014), 44-93.

Authors: L.D. López-Sánchez, J.M. Martell and J. Parcet

Calderón-Zygmund operators associated to matrix-valued kernels

Int. Math. Res. Not. 14 (2014), 1221-1252.

Authors: G. Hong, L.D. López-Sánchez, J.M. Martell and J. Parcet

On the growth of Fourier series for vector-valued functions

Indiana Univ. Math. J. 62 (2013), 1765-1784.

Authors: J. Parcet, F. Soria and Q. Xu

Differentiation of integrals in higher dimensions

Proc. Nat. Acad. Sci. USA 110 (2013), 4941-4944.

Authors: J. Parcet and K.M. Rogers

A transference method in quantum probability

Adv. Math. 225 (2010), 389-444

Authors: M. Junge and J. Parcet

Maurey's factorization theory for operator spaces

Math. Ann. 347 (2010), 299-338

Authors: M. Junge and J. Parcet

Mixed-norm inequalities and operator space Lp embedding theory

Mem. Amer. Math. Soc. 952, 2010

Authors: M. Junge and J. Parcet

Pseudo-localization of singular integrals and noncommutative Littlewood-Paley inequalities

Int. Math. Res. Not. 9 (2009), 1433-1487

Authors: T. Mei and J. Parcet.

Pseudo-localization of singular integrals and noncommutative Calderón-Zygmund theory

J. Funct. Anal. 256 (2009), 509-593

Author: J. Parcet

Operator space embedding of Schatten p-classes into von Neumann algebra preduals

Geom. Funct. Anal. 18 (2008), 522-551

Authors: M. Junge and J. Parcet

Rosenthal's theorem for subspaces of noncommutative Lp

Duke Math. J. 141 (2008), 75-122.

Authors: M. Junge and J. Parcet

Weak type estimates associated to Burkholder's martingale inequality

Rev. Mat. Iberoam. 23 (2007), 1-27

Author: J. Parcet

Rosenthal type inequalities for free chaos

Ann. Probab. 35 (2007), 1374-1437

Authors: M. Junge, J. Parcet and Q. Xu

Laplacian operators and Radon transforms in Grassmann graphs

Monatsh. Math. 150 (2007), 97-132

Authors: J.M. Marco and J. Parcet

Gundy's decomposition for non-commutative martingales and applications

Proc. London Math. Soc. 93 (2006), 227-252

Authors: J. Parcet and N. Randrianantoanina

Taylor series for the Askey-Wilson operator and classical summation formulas

Proc. Amer. Math. Soc. 134 (2006), 2259-2270

Authors: B. López, J.M. Marco and J. Parcet

A new approach to the theory of classical hypergeometric polynomials

Trans. Amer. Math. Soc. 358 (2006), 183-214

Authors: J.M. Marco and J. Parcet

Non-commutative Khintchine type inequalities associated with free groups

Indiana Univ. Math. J. 54 (2005), 531-556

Authors: J. Parcet and G. Pisier

The norm of sums of independent non-commutative random variables in Lp(l1)

J. Funct. Anal. 221 (2005), 366-406

Authors: M. Junge and J. Parcet

Multi-indexed p-orthogonal sums in non-commutative Lebesgue spaces

Indiana Univ. Math. J. 53 (2004), 1171-1188

Author: J. Parcet

Vector-valued Hausdorff-Young inequality on compact groups

Proc. London Math. Soc. 88 (2004), 796-816

Authors: J. García-Cuerva and J. Parcet

B-convex operator spaces

Proc. Edinburgh Math. Soc. 46 (2003), 649-668

Author: J. Parcet

Quantized orthonormal systems: A non-commutative Kwapien theorem

Studia Math. 155 (2003), 273-294

Authors: J. García-Cuerva and J. Parcet

Sharp Fourier type and cotype with respect to compact semisimple Lie groups

Trans. Amer. Math. Soc. 355 (2003), 3591-3609

Authors: J. García-Cuerva, J.M. Marco and J. Parcet

On the representation of S(Omega) in L2(P(Omega)): Discrete harmonics & Fourier transform

J. Combin. Theory Ser. A. 100 (2002), 153-175

Authors: J.M. Marco and J. Parcet

Notes

An invitation to harmonic analysis associated to semigroups of operators

Proceedings 9th Int. Conf. Harmonic Analysis and PDEs. Contemp. Math. 612, 2014.

Authors: M. Junge, T. Mei and J. Parcet

Teoría de Littlewood-Paley-Stein: Martingalas y aspectos no conmutativos

Master Course at Universidad Autónoma de Madrid

Author: J. Parcet

A local Hausdorff-Young inequality on the classical compact Lie groups

Capítulo 1 del libro Focus on Group Theory Research, Nova Science Pubs, 2007

Author: J. Parcet

Análisis Armónico No Conmutativo, Probabilidad Cuántica y Espacios de Operadores

Quadern del Centre de Recerca Matemàtica, 2006

Author: J. Parcet