182 citations
- Universitat Autònoma de BarcelonaES3 papers
- Friedrich Schiller University JenaDE2 papers
- North Carolina State UniversityUS2 papers
- Rutgers, The State University of New JerseyUS2 papers
- California Institute of TechnologyUS1 paper
- Goddard Space Flight CenterUS1 paper
- Los Alamos National LaboratoryUS1 paper
- Rochester Institute of TechnologyUS1 paper
- Technion – Israel Institute of TechnologyIL1 paper
- Universidad Michoacana de San Nicolás de HidalgoMX1 paper
- University of FloridaUS1 paper
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math.FA2008★ 31 cited
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…
math.FA2007★ 8 cited
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…
math.FA2007★ 39 cited
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…