On the mixed Pólya-Szegö principle
type: Item
instance of: scholarly article
title: On the mixed Pólya-Szegö principle
zbMATH Open document ID: 1475.52008
author: Niufa Fang
author: Jiazu Zhou
publication date: 2021-07-28T00:00:00Z
review text: The authors establish the mixed Pólya-Szegö principle. They prove that by the mixed Pólya-Szegö principle, the mixed Morrey-Sobolev inequality and some new analytic inequalities are also obtained.
reviewed by: Ankit Gupta
Mathematics Subject Classification ID: 52A22
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 7375669
zbMATH Keywords: mixed Pólya-Szegö principle
zbMATH Keywords: Sobolev inequality
zbMATH Keywords: spherically symmetric rearrangement
MaRDI profile type: Publication
full work available at URL: s10114-021-0099-x
OpenAlex ID: W3151719053
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: Q4122390
cites work: Problèmes isoperimetriques et espaces de Sobolev
cites work: On the best Sobolev inequality
cites work: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
cites work: On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality
cites work: From Brunn-Minkowski to sharp Sobolev inequalities
cites work: A Class of Convex Bodies
cites work: A quantitative Sobolev inequality in BV
cites work: Affine Moser-Trudinger and Morrey-Sobolev inequalities
cites work: Optimal Sobolev inequalities of arbitrary order on compact Riemannian manifolds
cites work: The sharp convex mixed Lorentz-Sobolev inequality
cites work: LYZ ellipsoid and Petty projection body for log-concave functions
cites work: Normal and integral currents
cites work: The sharp quantitative Sobolev inequality for functions of bounded variation
cites work: The sharp quantitative isoperimetric inequality
cites work: The Brunn-Minkowski inequality
cites work: Asymmetric affine \(L_p\) Sobolev inequalities
cites work: An asymmetric affine Pólya-Szegő principle
cites work: Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
cites work: The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
cites work: The sharp Sobolev inequality and the Banchoff-Pohl inequality on surfaces
cites work: Sharp Sobolev inequalities involving boundary terms
cites work: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
cites work: Affine Orlicz Pólya-Szegő principle for log-concave functions
cites work: Affine Orlicz Pólya–Szegö Principles and Their Equality Cases
cites work: Sharp convex Lorentz-Sobolev inequalities
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: \(L_ p\) affine isoperimetric inequalities.
cites work: Sharp affine \(L_ p\) Sobolev inequalities.
cites work: $L_p$ John Ellipsoids
cites work: Orlicz projection bodies
cites work: A new proof of a sharp inequality concerning the Dirichlet integral
cites work: Summability of functions in Sobolev spaces
cites work: Q4453429
cites work: Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
cites work: Q5722504
cites work: Q5614914
cites work: The isoperimetric inequality
cites work: Q5531622
cites work: Q5657318
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Zu einem Problem von Shephard über die Projektionen konvexer Körper
cites work: Best constant in Sobolev inequality
cites work: Q4839442
cites work: The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
cites work: The affine Pólya-Szegö principle: equality cases and stability
cites work: Q5547919
cites work: The sharp Sobolev and isoperimetric inequalities split twice
cites work: Q5520312
cites work: The affine Sobolev inequality.
DOI: 10.1007/S10114-021-0099-X
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On the mixed Pólya-Szegö principle (published in)
published in: Acta Mathematica Sinica, English Series