A remark on fractional integrals on modulation spaces
Mitsuru Sugimoto, Naohito Tomita
TL;DR
This paper establishes the precise conditions under which fractional integral operators are bounded on modulation spaces, advancing the understanding of their behavior in harmonic analysis.
Contribution
It provides the first complete characterization of fractional integral boundedness on modulation spaces, filling a gap in the existing literature.
Findings
Necessary and sufficient conditions for boundedness identified
Characterization applicable to a wide class of fractional integrals
Enhances understanding of harmonic analysis on modulation spaces
Abstract
In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Advanced Mathematical Physics Problems