Geometric maximizers of Schatten norms of some convolution type integral operators

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. © 2017 Elsevier Inc.

Авторы
Ruzhansky M.1 , Suragan D. 2, 3
Редакторы
-
Издательство
Academic Press Inc.
Номер выпуска
1
Язык
Английский
Страницы
444-456
Статус
Опубликовано
Подразделение
-
Номер
-
Том
456
Год
2017
Организации
  • 1 Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, United Kingdom
  • 2 Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, Almaty, 050010, Kazakhstan
  • 3 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Ключевые слова
Geometric maximizer; Integral operators; Schatten class; Singular value
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5155/