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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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Block spaces on the unit sphere in $\textbf {R}^ n$
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by Masahiro Keitoku and Enji Sato PDF
Proc. Amer. Math. Soc. 119 (1993), 453-455 Request permission

Abstract:

Let $B_q^{\mu ,\nu }$ be the block space on the unit sphere introduced by S. Lu. We discuss the relation between $B_q^{\mu ,\nu }$ and the ${L^p}$-space on the unit sphere. Then we give the characterization of $B_q^{\mu ,\nu }$ and a simple proof of Theorem (12.11)(iii) of Spaces generated by blocks (Beijing Normal University Math. Ser., 1989).
References
  • Lung-Kee Chen, On a singular integral, Studia Math. 85 (1986), no. 1, 61–72 (1987). MR 879417, DOI 10.4064/sm-85-1-61-72
    • S. Lu, M. H. Taibleson, and G. Weiss, Spaces generated by blocks, Beijing Normal Univ. Math. Ser., 1989.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 453-455
  • MSC: Primary 42B20; Secondary 46E30
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1156470-3
  • MathSciNet review: 1156470