Geometric maximizers of Schatten norms of some convolution type integral operators
File(s)rs-2017-06-30.pdf (299.13 KB)
Accepted version
Author(s)
Ruzhansky, M
Suragan, D
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.
Date Issued
2017-07-13
Date Acceptance
2017-04-25
Citation
Journal of Mathematical Analysis and Applications, 2017, 456 (1), pp.444-456
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
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
The Leverhulme Trust
Grant Number
EP/K039407/1
RPG-2014-002
RPG-2017-151
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Integral operators
Singular value
Schatten class
Geometric maximizer
GENERALIZED ISOPERIMETRIC-INEQUALITIES
Publication Status
Accepted