CRITERION FOR EMBEDDING OF GENERALIZED RIESZ POTENTIAL INTO A REARRANGEMENT INVARIANT SPACE

The space of generalized Riesz potentials is considered. We give the criterion for embedding of generalized space of potentials in a rearrangement invariant space. For it some special cone of functions with monotonicity conditions is constructed which determines the conditions of embedding.

Авторы
Bokayev N.A. 1 , Goldman M.L. 2 , Karshygina G.Z. 1
Издательство
Полипринт
Язык
Английский
Страницы
46-47
Статус
Опубликовано
Год
2018
Организации
  • 1 L. N. Gumilyov Eurasian National University
  • 2 RUDN University
Ключевые слова
space of generalized Riesz potentials; rearrangement invariant space; cone of functions with monotonicity conditions. criterion of embedding
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