39 citations · 84 across the 5 of their papers we have counts for
5 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
Symmetrization and sharp Sobolev inequalities in metric spaces
Jan Kalis, Mario Milman
We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates for Hörmander vector field…
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…