39 citations · 80 across the 5 of their papers we have counts for
6 papers
Isoperimetry and symmetrization for logarithmic Sobolev inequalities
Joaquim Martin, Mario Milman
Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrizati…
An abstract Coifman-Rochberg-Weiss commutator theorem
Joaquim Martin, Mario Milman
We formulate and prove a version of the celebrated Coifman-Rochberg-Weiss commutator theorem for the real method of interpolation
Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization
Joaquim Martin, Mario Milman
In a previous paper we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in . In this paper we extend our method to Sobolev…
Sobolev Inequalities: Symmetrization and Self Improvement via Truncation
Joaquim Martin, Mario Milman, Evgeniy Pustylnik
We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of…
Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator
Joaquim Martin, Javier Soria
We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces $L^p(\mathb…
New Lorentz spaces for the restricted weak-type Hardy's inequalities
Joaquim Martin, Javier Soria
Associated to the class of restricted-weak type weights for the Hardy operator, we find a new class of Lorentz spaces for which the normability property holds. This result is analo…