SU\G(𝔸)/K·U

A note on singular integrals with weights

Douglas S. Kurtz, Richard L. Wheeden

Type: Article

Publication Date: 1981-03-01

Citations: 14

DOI: https://doi.org/10.1090/s0002-9939-1981-0597648-9

Abstract

We prove two results concerning the behavior on weighted ${L^p}$ spaces of Calderón-Zygmund singular integrals formed with kernels whose ${L^1}$ moduli of continuity satisfy the Dini condition. We also prove a result about the behavior of multiplier operators.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (16)

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+ PDF Chat Weighted weak-type $(1,1)$ inequalities for rough operators 1989 Steve Hofmann
+ PDF Chat Weighted Norm Inequalities for Homogeneous Singular Integrals 1993 Javier Duoandikoetxea
+ Weighted norm inequalities for pseudodifferential operators 1986 Kôzô Yabuta
+ PDF Chat A weighted norm inequality for rough singular integrals 1999 Dashan Fan
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+ PDF Chat Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets 1999 David K. Watson
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+ PDF Chat Singular integrals with power weights 1990 Steve Hofmann
+ PDF Chat Singular Integrals with Power Weights 1990 Steve Hofmann
+ PDF Chat Weighted norm inequalities for homogeneous families of operators 1983 José L. Rubio de Francia
+ Weighted estimates for singular integrals via Fourier transform estimates 1990 David K. Watson
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Works Cited by This (11)

Action Title Year Authors
+ Singular Integrals and Differentiability Properties of Functions. 1971 Elias M. Stein
+ A note on singular integrals 1989 A. P. Calderón
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+ PDF Chat Weighted norm inequalities for the Hardy maximal function 1972 Benjamin Muckenhoupt
+ PDF Chat A note on singular integrals 1979 Robert Fefferman
+ PDF Chat Results on weighted norm inequalities for multipliers 1979 Douglas S. Kurtz
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+ Factorization of AP weights 1980 Peter W. Jones
+ SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS 1973 J. L. B. Cooper
+ PDF Chat Weighted Norm Inequalities for Singular and Fractional Integrals 1971 Benjamin Muckenhoupt
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+ On the existence of singular integrals 1967 A. P. Calderón
Mary Jane Weiss
A. Zygmund
+ PDF Chat Results on Weighted Norm Inequalities for Multipliers 1979 Douglas S. Kurtz
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