39 citations · 80 across the 5 of their papers we have counts for
4 papers · 1 filter
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…