A Calder\'on-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators
Malabika Pramanik, Keith M. Rogers, Andreas Seeger
TL;DR
This paper establishes a Calderón-Zygmund estimate that enhances regularity results for spherical means, Fourier integral operators, and generalized Radon transforms, advancing the understanding of their analytical properties.
Contribution
It introduces a new Calderón-Zygmund estimate applicable to various integral transforms, improving existing regularity results in harmonic analysis.
Findings
Sharpened regularity results for spherical means
Enhanced understanding of Fourier integral operators
Improved estimates for generalized Radon transforms
Abstract
We prove a Calder\'on-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators and generalized Radon transforms.
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Taxonomy
TopicsNumerical methods in inverse problems · Mathematical Analysis and Transform Methods · Thermoelastic and Magnetoelastic Phenomena