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Calderón-Zygmund operators on Hardy spaces without the doubling condition

Author(s): Wengu Chen; Yan Meng; Dachun Yang
Journal: Proc. Amer. Math. Soc. 133 (2005), 2671-2680.
MSC (2000): Primary 42B20; Secondary 42B30, 42B25, 43A99
Posted: March 17, 2005
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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 $H^1(\mu)$.

References:

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G. Hu, Y. Meng and D. Yang, New atomic characterization of $H^1$ space with non-doubling measures and its applications, Math. Proc. Camb. Phil. Soc. to appear.

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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: 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
Posted: 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
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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