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.

Authors
Burenkov V.I. 1, 2 , Tararykova T.V.3
Journal
Proceedings of the Steklov Institute of Mathematics
Number of issue
1
Language
English
Pages
107-126
Status
Published
Link
External link
DOI
10.1134/S0081543816040088
Volume
293
Year
2016
Organizations
  • 1 Peoples’ Friendship University of Russia
  • 2 Steklov Mathematical Institute of Russian Academy of Sciences,
  • 3 School of Mathematics, Cardiff University
Date of creation
21.07.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74795/
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