Rearrangement inequalities with application to ratios of heat kernels

DOI10.1007/s11118-004-1328-5zbMath1128.26014OpenAlexW1988493560MaRDI QIDQ1775582

Cristina Draghici

Publication date: 4 May 2005

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-004-1328-5

zbMATH Keywords

symmetrizationrearrangementintegral inequalityheat kernels

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Schrödinger operator, Schrödinger equation (35J10) Inequalities for sums, series and integrals (26D15)

Related Items (7)

Extremal values of the (fractional) Weinstein functional on the hyperbolic space ⋮ Inequalities for integral means over symmetric sets ⋮ Circular rearrangement inequality ⋮ A general rearrangement inequality ⋮ Rearrangement inequalities for functionals with monotone integrands ⋮ Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles ⋮ On the conditional expectation of the first exit time of Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum and minimum sets for some geometric mean values
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• A general rearrangement inequality à la Hardy-Littlewood
• Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps
• A general rearrangement inequality for multiple integrals
• Sharp inequalities for functional integrals and traces of conformally invariant operators.
• Sharp inequalities for ratios of partition functions of Schrödinger operators
• Convolution and rearrangement on circle
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• The isoperimetric inequality
• Symmetric Decreasing Rearrangement Is Sometimes Continuous
• An approach to symmetrization via polarization
• Generalized Isoperimetric Inequalities
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Inequalities: theory of majorization and its applications
• Comparison theorems for exit times

This page was built for publication: Rearrangement inequalities with application to ratios of heat kernels