Symmetrization inequalities for probability metric spaces with convex isoperimetric profile
DOI10.5186/aasfm.2020.4548zbMath1461.46034arXiv1908.08888OpenAlexW3034238661MaRDI QIDQ5118934
Joaquim Martín, Walter A. Ortiz
Publication date: 27 August 2020
Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.08888
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities involving derivatives and differential and integral operators (26D10) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
Cites Work
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- Quantitative isoperimetric inequalities for log-convex probability measures on the line
- Relative rearrangement. An estimation tool for boundary problems
- Functional inequalities for heavy tailed distributions and application to isoperimetry
- Pointwise symmetrization inequalities for Sobolev functions and applications
- Isoperimetry and symmetrization for logarithmic Sobolev inequalities
- Convex set functions in d-space
- Levels of concentration between exponential and Gaussian
- Symmetrization inequalities in the fractional case and Besov embeddings
- Sobolev inequalities: symmetrization and self-improvement via truncation
- Large deviations and isoperimetry over convex probability measures with heavy tails
- \(L^q\)-functional inequalities and weighted porous media equations
- Conductor Sobolev type estimates and isocapacitary inequalities
- Beyond traditional Curvature-Dimension I: New model spaces for isoperimetric and concentration inequalities in negative dimension
- Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces
- Hypercontractive Semigroups and Sobolev's Inequality
- Logarithmic Sobolev Inequalities
- Some connections between isoperimetric and Sobolev-type inequalities
- Fractional Sobolev Inequalities: Symmetrization, Isoperimetry and Interpolation
- Indices of Function Spaces and their Relationship to Interpolation
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