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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2016 Volume 293, Pages 113–132 (Mi tm3708)

This article is cited in 20 papers

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

V. I. Burenkova, T. V. Tararykovab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b School of Mathematics, Cardiff University, Senghennydd Road, CF24 4AG Cardiff, Wales, UK

Abstract: 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.

UDC: 517.518

Received: January 15, 2015

DOI: 10.1134/S0371968516020084


 English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 293, 107–126

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