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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A singular integral
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by Javad Namazi PDF
Proc. Amer. Math. Soc. 96 (1986), 421-424 Request permission

Abstract:

In this paper we show that if $K(x) = \Omega (x)/{\left | x \right |^n}$ is a Calderón-Zygmund kernel, where $\Omega \in {L^q}({S^{n - 1}})$ for some $1 < q \leq \infty$, and $b$ is a radial bounded function, then $b(x)K(x)$ is the kernel of a convolution operator which is bounded on ${L^p}({R^n})$ for $1 < p < \infty$ and $n \geq 2$.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 421-424
  • MSC: Primary 42B20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0822432-2
  • MathSciNet review: 822432