harmonic analysis and operator algebras
noncommutative martingales and other probability methods
connections to geometric group theory and noncommutative geometry
Fourier and Schur multipliers
Noncommutative Calderón-Zygmund theory
Lacunarity, Kakeya sets and directional maximal operators
Pseudo-localization of singular integrals and noncommutative Calderón-Zygmund theory
J. Parcet — Journal of Functional Analysis
Pseudo-localization of singular integrals and noncommutative Littlewood-Paley inequalities
T. Mei and J. Parcet — International Mathematics Research Notices
Smooth Fourier multipliers on group von Neumann algebras
M. Junge, T. Mei and J. Parcet — Geometric and Functional Analysis
Twisted Hilbert transforms vs Kakeya sets of directions
J. Parcet and K.M. Rogers — Crelle’s Journal
Differentiation of integrals in higher dimensions
J. Parcet and K.M. Rogers — Proceedings of the National Academy of Sciences (USA)
Directional maximal operators and lacunarity in higher dimensions
J. Parcet and K.M. Rogers — American Journal of Mathematics
Noncommutative Riesz transforms: Dimension free bounds and Fourier multipliers
M. Junge, T. Mei and J. Parcet — Journal of the European Mathematical Society
Noncommutative de Leeuw's type theorems
M. Caspers, J. Parcet, M. Perrin and E. Ricard — Forum of Mathematis Sigma
Smooth multipliers in group algebras via Sobolev dimension
A.M. González, M. Junge and J. Parcet — Annales Scientifiques École Normale Supérieure
Calderón-Zygmund operators associated to matrix-valued kernels
G. Hong, L.D. López-Sánchez, J.M. Martell and J. Parcet — IMRN
Singular integrals in quantum Euclidean spaces
A.M. González, M. Junge and J. Parcet — Memoirs of the American Mathematical Society
Algebraic Calderón-Zygmund theory
M. Junge, T. Mei, J. Parcet and R. Xia — Advances in Mathematics
The Hausdorff-Young inequality on Lie groups
M.G. Cowling, A. Martini, D. Müller and J. Parcet — Mathematische Annalen
Fourier multipliers in SLn(R)
J. Parcet, É. Ricard and M. de la Salle — Duke Mathematical Journal
Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory
L. Cadilhac, J.M. Conde-Alonso and J. Parcet — Journal de Mathématiques Pures et Appliquées
Schur multipliers in Schatten-von Neumann classes
J.M. Conde-Alonso, A.M. González-Pérez, J. Parcet and E. Tablate — Annals of Mathematics
Hörmander-Mikhlin criteria on Lie group von Neumann algebras
J.M. Conde-Alonso, A.M. González-Pérez, J. Parcet and E. Tablate — Journal of the LMS
Noncommutative Cotlar identities for groups acting on tree-like structures
A.M. González-Pérez, J. Parcet and R. Xia — Journal of the Institute of Mathematics of Jussieu
The local geometry of idempotent Schur multipliers
J. Parcet, M. de la Salle and E. Tablate — Forum of Mathematics Pi
Riesz-Schur transforms
A.M. González-Pérez, J. Parcet, J. Pérez-García and É. Ricard — Annales Scientifiques École Normale Supérieure
Lp-sums of independent/free random variables
Noncommutative martingales and ergodic theory
Operator space geometry and noncommutative Lp embedding theory
B-convex operator spaces
J. Parcet — Proceedings of the Edinburgh Mathematical Society
Multi-indexed p-orthogonal sums in non-commutative Lebesgue spaces
J. Parcet — Indiana University Mathematics Journal
Sharp Fourier type/cotype for compact semisimple Lie groups
J.M. Marco and J. Parcet — Transactions of the American Mathematical Society
The norm of sums of independent non-commutative random variables in Lp(l1)
M. Junge and J. Parcet — Journal of Functional Analysis
Non-commutative Khintchine type inequalities associated with free groups
J. Parcet and G. Pisier — Indiana University Mathematics Journal
Mixed-norm inequalities and operator space Lp embedding theory
M. Junge and J. Parcet — Memoirs of the American Mathematical Society
Rosenthal type inequalities for free chaos
M. Junge, J. Parcet and Q. Xu — Annals of Probability
Gundy's decomposition for non-commutative martingales and applications
J. Parcet and N. Randrianantoanina — Proceedings of the London Mathematical Society
Operator space embedding of Schatten p-classes into von Neumann algebra preduals
M. Junge and J. Parcet — Geometric and Functional Analysis
Rosenthal's theorem for subspaces of noncommutative Lp
M. Junge and J. Parcet — Duke Mathematical Journal
A transference method in quantum probability
M. Junge and J. Parcet — Advances in Mathematics
Maurey's factorization theory for operator spaces
M. Junge and J. Parcet — Mathematische Annalen
Weak type estimates associated to Burkholder's martingale inequality
J. Parcet — Revista Matemática Iberoamericana
Trigonometric chaos and Xp inequalities I — Balanced Fourier truncations over discrete groups
A.I. Cano-Mármol, J.M. Conde-Alonso and J. Parcet — Analysis & PDEs
Trigonometric chaos and Xp inequalities II — Xp inequalities in group von Neumann algebras
A.I. Cano-Mármol, J.M. Conde-Alonso and J. Parcet — Illinois Journal of Mathematics
Noncommutative maximal inequalities
Hypercontractivity and log-Sobolev inequalities
Representation theory, hypergeometric polynomials, etc...
On the natural representation of S(Omega) in L2(P(Omega))
J.M. Marco and J. Parcet — Journal of Combinatorial Theory Series A.
A new approach to the theory of classical hypergeometric polynomials
J.M. Marco and J. Parcet — Transactions of the AMS
Dyadic harmonic analysis beyond doubling measures
L.D. López-Sánchez, J.M. Martell and J. Parcet — Advances in Mathematics
Large BMO spaces vs interpolation
J.M. Conde-Alonso, T. Mei and J. Parcet — Analysis & PDE
Hypercontractivity for free products
M. Junge, C. Palazuelos, J. Parcet, M. Perrin and E. Ricard — Annales Scientifiques ENS
Hypercontractivity in group von Neumann algebras
M. Junge, C. Palazuelos, J. Parcet and M. Perrin — Memoirs of the AMS
Algebraic Davis decomposition and asymmetric Doob inequalities
G. Hong, M. Junge and J. Parcet — Communications in Mathematical Physics
Asymmetric Doob inequalities in continuous time
G. Hong, M. Junge and J. Parcet — Journal of Functional Analysis
Noncommutative strong maximals and almost uniform convergence in several directions
J.M. Conde-Alonso, A.M. González-Pérez and J. Parcet — Forum of Mathematics Sigma
Maximal weak Orlicz types and the strong maximal on von Neumann algebras
A.M. González-Pérez, J. Parcet and J. Pérez-García — Studia Mathematica