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 language | English |
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Pages (from-to) | 444-456 |
Number of pages | 13 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 456 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 1 2017 |
Externally published | Yes |
Keywords
- Geometric maximizer
- Integral operators
- Schatten class
- Singular value
ASJC Scopus subject areas
- Analysis
- Applied Mathematics