International Journal on Minority and Group Rights. Vol. 10. 2003. P.. 203-220
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.
Authors
Bokayev N.A. 1 , Goldman M.L. 2 , Karshygina G.Z. 1
Conference proceedings
Publisher
Полипринт
Language
English
Pages
46-47
State
Published
Link
Year
2018
Organizations
- 1 L. N. Gumilyov Eurasian National University
- 2 RUDN University
Keywords
space of generalized Riesz potentials; rearrangement invariant space; cone of functions with monotonicity conditions. criterion of embedding
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Сборник материалов международной конференции “XXIX Крымская Осенняя Математическая Школа-симпозиум по спектральными эволюционным задачам” КРОМШ-2018. 2018. P.. 69-69