Lp estimates for the variation for singular integrals on uniformly rectifiable sets

Albert Mas; Xavier Tolsa

doi:10.1090/tran/6987

L^p estimates for the variation for singular integrals on uniformly rectifiable sets

Albert Mas, Xavier Tolsa

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

© 2017 American Mathematical Society. The Lp (1 <p<∞) andweak-L1 estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L2 boundedness and the corona decomposition method are two key ingredients of the proof.

Original language	English
Pages (from-to)	8239-8275
Journal	Transactions of the American Mathematical Society
Volume	369
Issue number	11
DOIs	https://doi.org/10.1090/tran/6987
Publication status	Published - 1 Jan 2017

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10.1090/tran/6987

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title = "Lp estimates for the variation for singular integrals on uniformly rectifiable sets",

abstract = "{\textcopyright} 2017 American Mathematical Society. The Lp (1 <p<∞) andweak-L1 estimates for the variation for Calder{\'o}n-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L2 boundedness and the corona decomposition method are two key ingredients of the proof.",

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AB - © 2017 American Mathematical Society. The Lp (1 <p<∞) andweak-L1 estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L2 boundedness and the corona decomposition method are two key ingredients of the proof.

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Lp estimates for the variation for singular integrals on uniformly rectifiable sets

Abstract

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L^p estimates for the variation for singular integrals on uniformly rectifiable sets