Multilinear Calder\'on-Zygmund operators on Hardy spaces
Loukas Grafakos, Nigel Kalton
TL;DR
This paper proves that multilinear Calderón-Zygmund operators are bounded when acting on products of Hardy spaces, expanding understanding of their behavior in harmonic analysis.
Contribution
It establishes the boundedness of multilinear Calderón-Zygmund operators on Hardy spaces, a novel result in the field.
Findings
Multilinear Calderón-Zygmund operators are bounded on Hardy spaces.
The result extends classical boundedness results to multilinear settings.
Provides new tools for analysis in harmonic analysis and PDEs.
Abstract
It is shown that multilinear Calder\'on-Zygmund operators are bounded on products of Hardy spaces.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Advanced Mathematical Physics Problems