An analog of Young’s inequality for convolutions of functions for general Morrey-type spaces

An analog of the classical Young’s inequality for convolutions of functions is proved in the case of general global Morrey-type spaces. The form of this analog is different from Young’s inequality for convolutions in the case of Lebesgue spaces. A separate analysis is performed for the case of periodic functions.

Авторы
Burenkov V.I. 1, 2 , Tararykova T.V. 3
Номер выпуска
1
Язык
English
Страницы
107-126
Статус
Published
Том
293
Год
2016
Организации
  • 1 Peoples’ Friendship University of Russia
  • 2 Steklov Mathematical Institute of Russian Academy of Sciences,
  • 3 School of Mathematics, Cardiff University
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