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February 14, 2026FilomatOpen Access

Precompactness in matrix weighted Bourgain-Morrey spaces

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Authors

TBTengfei BaiJXJingshi Xu

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Overview

Uncovers conditions for precompact sets in matrix weighted Bourgain-Morrey spaces, indicating their relevance in analysis.

Key Points

  • The aim is to define matrix weighted Bourgain-Morrey spaces and identify conditions for precompactness within these spaces.
  • Introduction of matrix weighted Bourgain-Morrey spaces
  • Derivation of sufficient conditions for precompactness
  • Analysis of the boundedness of the dyadic average operator
  • Two sufficient conditions for precompact sets are established
  • The dyadic average operator is shown to be bounded in certain matrix weighted Bourgain-Morrey spaces
  • Findings remain valid even for unweighted Bourgain-Morrey spaces

Cite This Study

Bai et al. (2025) studied this question.

synapsesocial.com/papers/699011172ccff479cfe578cbhttps://doi.org/10.2298/fil2518261b
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