Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Recovering singular integrals from Haar shifts

Author(s): Armen Vagharshakyan
Journal: Proc. Amer. Math. Soc. 138 (2010), 4303-4309.
MSC (2010): Primary 42B20, 42A45
Posted: 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.

References:

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