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Weighted estimates for commutators of singular integral operators with non-smooth kernels

Weighted estimates for commutators of singular integral operators with non-smooth kernels In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lip β,ω . The condition on the kernel in this paper is weaker than the usual pointwise Hörmander condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Weighted estimates for commutators of singular integral operators with non-smooth kernels

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Publisher
Springer Journals
Copyright
Copyright © 2010 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Mathematics, general
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-010-2035-1
Publisher site
See Article on Publisher Site

Abstract

In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lip β,ω . The condition on the kernel in this paper is weaker than the usual pointwise Hörmander condition.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Aug 25, 2010

References

  • On commutators of singular intergrals
    Calderón, A. P.; Zygmund, A.
  • Commutators of singular integral operators with non-smooth kernels
    Deng, D. G.; Yan, L. X.
  • Singular integral operators with non-smooth kernels on irregular domains
    Duong, X. T.; McIntosh, A.
  • Necessary and sufficient conditions for boundedness of commutators with weighted Lipschitz functions
    Hu, B.; Gu, J.
  • Mean oscillation and commutators of singular integral operators
    Janson, S.
  • On functions of bounded mean oscillation
    John, F.; Nirenberg, L.
  • Boundedness of Calderón-Zygmund singular integral commutartor on Herz-Hardy space
    Liu, Z. G.
  • Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
    Martell, J. M.