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- Title
Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation.
- Authors
Opic, Bohumír; Grover, Manvi
- Abstract
We establish conditions under which K‐spaces in the limiting real interpolation involving slowly varying functions can be described by means of J‐spaces and we also solve the reverse problem. To this end, we prove several versions of the fundamental lemma of the real interpolation theory. We apply our results to obtain density theorems for the corresponding limiting interpolation spaces.
- Subjects
K-spaces; INTERPOLATION spaces; INTERPOLATION; LIMIT theorems; PROBLEM solving
- Publication
Mathematische Nachrichten, 2023, Vol 296, Issue 9, p4002
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.202100545