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October 3, 2025

Characterization of boundedness of some commutators of fractional maximal functions in terms of p-adic vector spaces

Key Points

The paper characterizes boundedness of commutators for p-adic fractional maximal functions and demonstrates their significance.
Key findings reveal new relationships between p-adic BMO norms and the associated Lebesgue or Morrey norms for boundedness studies.
Analyses apply concepts from p-adic vector spaces, providing fresh perspectives on BMO functions in this unique mathematical context.
Connections between the norms offer insights into the structural framework of the p-adic field and its functional spaces.

Abstract

This paper gives some characterizations of the boundedness of the maximal or non-linear commutator of the p-adic fractional maximal operator M_ᵖ with the symbols belong to the p-adic BMO spaces on (variable) Lebesgue spaces and Morrey spaces over p-adic field, by which some new characterizations of BMO functions are obtained in the p-adic field context. Meanwhile, some equivalent relations between the p-adic BMO norm and the p-adic (variable) Lebesgue or Morrey norm are given. Bibliography: 35 titles.

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Cite This Study

Wu et al. (Wed,) studied this question.

synapsesocial.com/papers/68e02f2cf0e39f13e7fa1ecc https://doi.org/https://doi.org/10.4213/im9604

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