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Short communications

Young’s inequality for convolutions in Morrey-type spaces

V. I. Burenkov^ab, T. V. Tararykova<sup>b

a</sup> Department of Mathematical Analysis and Theory of Functions, RUDN University, 6 Miklukho Maklay St., 117198 Moscow, Russia
^b School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK

Abstract: 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.

Keywords and phrases: convolutions of functions, local and global Morrey-type spaces.

MSC: 47H30, 46E35

Received: 10.05.2016

Language: English

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