Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach

DOI10.1007/978-3-319-59078-3_14zbMath1405.42023arXiv1511.06895OpenAlexW2278552638MaRDI QIDQ4612133

Paata Ivanisvili, Alexander Volberg

Publication date: 22 January 2019

Published in: 50 Years with Hardy Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06895

zbMATH Keywords

maximum principlesemigroupsPoincaré inequalitylog-Sobolev inequalityexterior differential systemsMonge-Ampère equationsbackward heat equationBobkov's inequalityGaussian isoperimetry(B) theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (4)

Poincaré inequality 3/2 on the Hamming cube ⋮ Exponential integrability in Gauss space ⋮ A unification of hypercontractivities of the Ornstein-Uhlenbeck semigroup and its connection with {\(\Phi\)}-entropy inequalities ⋮ On the tightness of Gaussian concentration for convex functions

Uses Software

• MathOverflow

Cites Work

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