Rearrangement inequalities with application to ratios of heat kernels
type: Item
instance of: scholarly article
title: Rearrangement inequalities with application to ratios of heat kernels
zbMATH Open document ID: 1128.26014
author: Cristina Draghici
published in: Potential Analysis
publication date: 2005-05-04T00:00:00Z
review text: By using the way of real analysis and the polarization technique, the rearrangement inequalities for multiple integrals are proved. Polarization refers to rearranging a function with respect to a hyperplane. Then, using the polarization inequalities, sharp inequalities for ratios of integrals of heat kernels of Schrödinger operators are derived. These ratio inequalities imply inequalities for the partition functions and extend the results of R. Banuelos, P. J. Mendez-Hernandez and D. You.
reviewed by: Bicheng Yang
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 28A25
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 2164830
zbMATH Keywords: symmetrization
zbMATH Keywords: rearrangement
zbMATH Keywords: integral inequality
zbMATH Keywords: heat kernels
MaRDI profile type: Publication
full work available at URL: s11118-004-1328-5
OpenAlex ID: W1988493560
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: Convolution and rearrangement on circle
cites work: Q4312128
cites work: Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
cites work: Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps
cites work: Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
cites work: A general rearrangement inequality for multiple integrals
cites work: A general rearrangement inequality à la Hardy-Littlewood
cites work: An approach to symmetrization via polarization
cites work: Comparison theorems for exit times
cites work: Q3729550
cites work: Q3342799
cites work: Generalized Isoperimetric Inequalities
cites work: Inequalities: theory of majorization and its applications
cites work: Sharp inequalities for functional integrals and traces of conformally invariant operators.
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: The isoperimetric inequality
cites work: Maximum and minimum sets for some geometric mean values
cites work: Sharp inequalities for ratios of partition functions of Schrödinger operators
DOI: 10.1007/S11118-004-1328-5
description: scientific article; zbMATH DE number 2164830