New York Journal of Mathematics
Volume 22 (2016) 341-349


Andrei K. Lerner

On pointwise estimates involving sparse operators

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Published: April 2, 2016
Keywords: Calderón-Zygmund operators, sparse operators, pointwise estimates, sharp weighted bounds.
Subject: 42B20, 42B25

We obtain an alternative approach to recent results by M. Lacey and Hytönen-Roncal-Tapiola about a pointwise domination of ω-Calderón-Zygmund operators by sparse operators. This approach is rather elementary and it also works for a class of nonintegral singular operators.


The author was supported by the Israel Science Foundation (grant No. 953/13).

Author information

Department of Mathematics, Bar-Ilan University, 5290002 Ramat Gan, Israel