Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new i...

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Veröffentlicht in:Mediterranean journal of mathematics 2021-12, Vol.18 (6), Article 232
Hauptverfasser: Bandaliyev, Rovshan A., Górka, Przemysław, Guliyev, Vagif S., Sawano, Yoshihiro
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Metric space
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Zusammenfassung:We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new in the case of constant exponents.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01828-z