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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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Weighted inequalities for convolutions
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by Kenneth F. Andersen PDF
Proc. Amer. Math. Soc. 123 (1995), 1129-1136 Request permission

Abstract:

For certain convolution operators T on ${R^ + }$ or ${R^n}$, sufficient conditions are given which ensure that T is bounded between weighted Lebesgue spaces. The class of operators considered includes many of classical interest; in particular, new inequalities are obtained for the Laplace transform, the Poisson integral on ${R^n} \times {R^ + }$, and Goldberg’s transform.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1129-1136
  • MSC: Primary 44A10; Secondary 26D15, 44A35
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1277088-X
  • MathSciNet review: 1277088