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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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Boundedness of the Calderón-Zygmund singular integral operators on Ba spaces
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by Wen-Dong Chang PDF
Proc. Amer. Math. Soc. 109 (1990), 403-408 Request permission

Abstract:

A condition for the boundedness of a Calderón-Zygmund operator on a new class of Banach function spaces is studied.
References
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  • Xia Xi Ding and Pei Zhu Luo, Ba spaces and some estimates of Laplace operator, J. Systems Sci. Math. Sci. 1 (1981), no. 1, 9–33 (English, with Chinese summary). MR 820383
  • Xia Qi Ding, On a new class of function spaces, Kexue Tongbao (English Ed.) 26 (1981), no. 11, 973–976. MR 665544
  • Xia Xi Ding, Pei Zhu Luo, and Yan Yan Li, The solvability of nonlinear parabolic equations in $Ba$ spaces, J. Central China Teachers College 2 (1985), 1–9 (Chinese, with English summary). MR 818104
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  • P. Koosis, Introduction to ${H_p}$ spaces, Cambridge University Press, New York, 1981.
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  • W. D. Zhang, The boundedness of some integral operators in a new class of function spaces, MR 87f #47082.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 403-408
  • MSC: Primary 47G10; Secondary 42B20, 44A15, 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1007492-1
  • MathSciNet review: 1007492