Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774727 | Journal of Mathematical Analysis and Applications | 2017 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michael Ruzhansky, Durvudkhan Suragan,