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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Calderón-Zygmund operators on Hardy spaces without the doubling condition


Authors: Wengu Chen, Yan Meng and Dachun Yang
Journal: Proc. Amer. Math. Soc. 133 (2005), 2671-2680
MSC (2000): Primary 42B20; Secondary 42B30, 42B25, 43A99
Published electronically: March 17, 2005
MathSciNet review: 2146213
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Abstract: Let $\mu$ be a non-negative Radon measure on $\mathbb{R}^d$ which only satisfies some growth condition. In this paper, the authors obtain the boundedness of Calderón-Zygmund operators in the Hardy space $H^1(\mu)$.


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Additional Information

Wengu Chen
Affiliation: Institute of Applied Physics and Computational Mathematics, P.O. 8009, Beijing, 100088, People’s Republic of China
Email: chenwg@mail.iapcm.ac.cn

Yan Meng
Affiliation: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China
Email: mengyan@mail.bnu.edu.cn

Dachun Yang
Affiliation: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China
Email: dcyang@bnu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07781-6
PII: S 0002-9939(05)07781-6
Received by editor(s): March 8, 2004
Received by editor(s) in revised form: April 22, 2004
Published electronically: March 17, 2005
Additional Notes: This project was supported by NNSF (No. 10271015 & No. 10371080) of China and the third (corresponding) author was also supported by RFDP (No. 20020027004) of China.
Communicated by: Andreas Seeger
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.