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Sparse Bounds for a Prototypical Singular Radon Transform

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  04 January 2019

Richard Oberlin
Richard Oberlin*
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA Email: [email protected]
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Abstract

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We use a variant of a technique used by M. T. Lacey to give sparse $L^{p}(\log (L))^{4}$ bounds for a class of model singular and maximal Radon transforms.

Keywords

sparse dominationsingular radon transformmaximal radon transform

MSC classification

Primary: 42B25: Maximal functions, Littlewood-Paley theory
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 2 , June 2019 , pp. 405 - 415
Copyright
© Canadian Mathematical Society 2018 

Footnotes

This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while the author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2017 semester.

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