Characterization of BMO spaces via commutators of some maximal operators on the slice spaces
Y. Chang, J. Wu, Y. Sun
TL;DR
This paper establishes new characterizations of BMO spaces by analyzing the boundedness of commutators of fractional and sharp maximal functions within slice spaces, expanding understanding of these function spaces.
Contribution
It introduces novel characterizations of BMO spaces through the boundedness of specific commutators in slice spaces, a new perspective in harmonic analysis.
Findings
Boundedness of commutators in slice spaces demonstrated
New characterizations of BMO spaces provided
Enhanced understanding of maximal operators in harmonic analysis
Abstract
In this paper, the main aim is to demonstrate the boundedness for commutators of (fractional) maximal function and sharp maximal function in the slice spaces, where the symbols of the commutators belong to the BMO space, whereby some new characterizations for BMO spaces are given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Approximation Theory and Sequence Spaces