Geometric maximizers of Schatten norms of some convolution type integral operators

Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)444-456
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume456
Issue number1
DOIs
Publication statusPublished - Dec 1 2017
Externally publishedYes

Fingerprint

Convolution
Integral Operator
Mathematical operators
Norm
Equilateral triangle
Triangle
Ball
kernel

Keywords

  • Geometric maximizer
  • Integral operators
  • Schatten class
  • Singular value

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Geometric maximizers of Schatten norms of some convolution type integral operators. / Ruzhansky, Michael; Suragan, Durvudkhan.

In: Journal of Mathematical Analysis and Applications, Vol. 456, No. 1, 01.12.2017, p. 444-456.

Research output: Contribution to journalArticle

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