V. I. Burenkov, T. V. Tararykova, “Young’s inequality for convolutions in Morrey-type spaces”, Eurasian Math. J., 2016, том 7, номер 2,страницы 92

Эта публикация цитируется в 8 статьях

Short communications

Young’s inequality for convolutions in Morrey-type spaces

V. I. Burenkov^ab, T. V. Tararykova^b

^a 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

Аннотация: 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.

Ключевые слова и фразы: convolutions of functions, local and global Morrey-type spaces.

MSC: 47H30, 46E35

Поступила в редакцию: 10.05.2016

Язык публикации: английский