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

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.

Authors
Burenkov V.I. 1, 2 , Tararykova T.V.3
Number of issue
1
Language
English
Pages
107-126
Status
Published
Volume
293
Year
2016
Organizations
  • 1 Peoples’ Friendship University of Russia
  • 2 Steklov Mathematical Institute of Russian Academy of Sciences,
  • 3 School of Mathematics, Cardiff University
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Bykova I.A., Notina E.A.
5th international multidisciplinary scientific conference on social sciences and arts SGEM 2018. Science & society: conference proceedings. Vienna, 19-21 марта 2018 г. Volume 5. ISSUE 3.1. Language & linguistics , Health Policy & Services. Общество с ограниченной ответственностью СТЕФ92 Технолоджи. 2018. P. 67-74