Recovering singular integrals from Haar shifts

Author:
Armen Vagharshakyan

Journal:
Proc. Amer. Math. Soc. **138** (2010), 4303-4309

MSC (2010):
Primary 42B20, 42A45

DOI:
https://doi.org/10.1090/S0002-9939-2010-10426-4

Published electronically:
June 15, 2010

MathSciNet review:
2680056

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Abstract | References | Similar Articles | Additional Information

Abstract: We recover one-dimensional Calderón-Zygmund convolution operators with sufficiently smooth kernels by means of a properly chosen averaging of certain dyadic shift operators. As a corollary, a sharp inequality for these Calderón-Zygmund operators is derived from a corresponding inequality for dyadic shift operators.

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Additional Information

**Armen Vagharshakyan**

Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332

Email:
armenv@math.gatech.edu, armen@math.brown.edu

DOI:
https://doi.org/10.1090/S0002-9939-2010-10426-4

Received by editor(s):
January 28, 2010

Published electronically:
June 15, 2010

Additional Notes:
This research was supported in part by NSF grant 0456611

Communicated by:
Michael T. Lacey

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.