Geometric maximizers of Schatten norms of some convolution type integral operators

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Title: Geometric maximizers of Schatten norms of some convolution type integral operators
Authors: Ruzhansky, M
Suragan, D
Item Type: Journal Article
Abstract: In this paper we prove that the ball is a maximizer of the Schatten p-norm of some convolution type integral operators with non-increasing kernels among all domains of a given measure in Rd. We also show that the equilateral triangle has the largest Schatten p-norm among all triangles of a given area. Some physical motivations for our results are also presented.
Issue Date: 13-Jul-2017
Date of Acceptance: 25-Apr-2017
URI: http://hdl.handle.net/10044/1/52621
DOI: https://dx.doi.org/10.1080/0023131.2017.07.007
ISSN: 0022-247X
Publisher: Elsevier
Start Page: 444
End Page: 456
Journal / Book Title: Journal of Mathematical Analysis and Applications
Volume: 456
Issue: 1
Copyright Statement: © 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
RPG-2014-002
RPG-2017-151
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Integral operators
Singular value
Schatten class
Geometric maximizer
GENERALIZED ISOPERIMETRIC-INEQUALITIES
math.FA
math.SP
35P99, 47G40, 35S15
0101 Pure Mathematics
0102 Applied Mathematics
0906 Electrical And Electronic Engineering
General Mathematics
Publication Status: Accepted
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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