Published January 1, 2021 | Version v1
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Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

  • 1. Warsaw Univ Technol, Dept Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland
  • 2. Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo, Japan

Description

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.

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