Young's inequality for convolutions in Morrey-type spaces

An analogue of the classical Young's inequality for convolutions of functions is proved in the case of the general global Morrey-type spaces. The form of this analogue is different from Young's inequality for convolutions in the case of the Lebesgue spaces.

Authors
Burenkov V.I. 1, 2 , Tararykova T.V.2
Publisher
Eurasian Mathematical Journal
Number of issue
2
Language
English
Pages
92-99
Status
Published
Volume
7
Year
2016
Organizations
  • 1 Department of Mathematical Analysis and Theory of Functions, RUDN University, 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
  • 2 School of Mathematics Cardiff University, Cardiff, CF24 4AG, United Kingdom
Keywords
Convolutions of functions; Local and global Morrey-type spaces
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