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

作者:Burenkov V I*; Tararykova T V
来源:Proceedings of the Steklov Institute of Mathematics, 2016, 293(1): 107-126.
DOI:10.1134/S0081543816040088

摘要

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.

  • 出版日期2016-5