Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Boundedness of the Calderón-Zygmund singular integral operators on Ba spaces


Author: Wen-Dong Chang
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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A condition for the boundedness of a Calderón-Zygmund operator on a new class of Banach function spaces is studied.


References [Enhancements On Off] (What's this?)

  • [1] A. P. Calderón and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901-921. MR 0100768 (20:7196)
  • [2] X. X. Ding and P. Z. Luo, Ba spaces and some estimates of Laplace operator, J. Systems Sci. Math. Sci. 1 (1) (1981), 9-33. MR 820383 (87c:35020)
  • [3] X. X. Ding, On a new class of function spaces, Kexue Tongbao 26 (1981), 973-976. MR 665544 (83j:46042)
  • [4] X. X. Ding, P. Luo, and Y. Li, The solvability of non-linear parabolic equations in Ba spaces, J. Central China Teachers College No. 2 (1985), 1-9. MR 818104 (87i:35086)
  • [5] Y. H. Dong et al, A new class of function spaces and the Hilbert transformation, J. Math. Anal. Appl. 108 (1985). MR 791136 (87d:46044)
  • [6] P. Koosis, Introduction to $ {H_p}$ spaces, Cambridge University Press, New York, 1981.
  • [7] E. M. Stein, Singular integrals and differentiability properties of functions, Princeton University Press, Princeton. MR 0290095 (44:7280)
  • [8] W. D. Zhang, The boundedness of some integral operators in a new class of function spaces, MR 87f #47082.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47G10, 42B20, 44A15, 47B38

Retrieve articles in all journals with MSC: 47G10, 42B20, 44A15, 47B38


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-1007492-1
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society