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

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$A_ p$-weight properties of real analytic functions in $\textbf {R}^ n$
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by Nicola Garofalo and Paul B. Garrett
Proc. Amer. Math. Soc. 96 (1986), 636-642
DOI: https://doi.org/10.1090/S0002-9939-1986-0826494-8

Abstract:

In this note we show that given any real analytic function $u$ in ${{\mathbf {R}}^n}$, there exists some $p > 1$ for which $\left | u \right |$ is locally an ${A_p}$-weight of Muckenhoupt.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 636-642
  • MSC: Primary 42B25; Secondary 26E05
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826494-8
  • MathSciNet review: 826494