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

V. I. Burenkov ; T. V. Tararykova

Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 113-132.

Résumé

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.

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