H\"older-Besov boundedness for periodic pseudo-differential operators
Duv\'an Cardona
TL;DR
This paper establishes H"older-Besov boundedness results for periodic pseudo-differential operators, providing new insights into their behavior on periodic Besov spaces with symbols of limited regularity.
Contribution
It introduces a class of bounded pseudo-differential operators on periodic Besov spaces with symbols of limited regularity, expanding the understanding of their boundedness properties.
Findings
Established H"older-Besov estimates for periodic Fourier multipliers
Identified conditions for boundedness of pseudo-differential operators with limited regularity symbols
Extended the theory of pseudo-differential operators on periodic Besov spaces
Abstract
In this work we give H\"older-Besov estimates for periodic Fourier multipliers. We present a class of bounded pseudo-differential operators on periodic Besov spaces with symbols of limited regularity.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics