Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Singular integrals with power weights
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by Steve Hofmann
Proc. Amer. Math. Soc. 110 (1990), 343-353
DOI: https://doi.org/10.1090/S0002-9939-1990-1021899-8

Abstract:

This note contains proofs of weighted weak-type $(1,1)$ and weighted ${L^p}$ inequalities (with power weights ${\left | x \right |^\alpha }$) for singular integrals whose kernels satisfy Hörmander’s condition, and also various size conditions. Some counter-examples are also given, yielding sharp results.
References
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 343-353
  • MSC: Primary 42B20; Secondary 47G05
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1021899-8
  • MathSciNet review: 1021899