Application of general approach to the theory of Morrey-type spaces

In this paper, we generalize constructions of Morrey spaces by using as a basic space a general rearrangement invariant space (Formula presented.) instead of (Formula presented.) and a general ideal space (Formula presented.) for outer norm instead of (Formula presented.) or (Formula presented.). Embeddings, nontriviality conditions, and inclusion into a general concept of ideal spaces and generalized rearrangement invariant spaces are discussed. © 2020 John Wiley & Sons, Ltd.

Authors
Publisher
John Wiley and Sons Ltd
Language
English
Status
Published
Year
2020
Organizations
  • 1 S.M. Nikol'skii Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 2 Department of Function Theory, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russian Federation
Keywords
embeddings; ideal space; Morrey-type spaces; rearrangement invariant space
Date of creation
02.11.2020
Date of change
17.03.2021
Short link
https://repository.rudn.ru/en/records/article/record/65279/
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