Calderón-Zygmund operators on Hardy spaces without the doubling condition
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- by Wengu Chen, Yan Meng and Dachun Yang PDF
- Proc. Amer. Math. Soc. 133 (2005), 2671-2680 Request permission
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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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
- MR Author ID: 317762
- Email: dcyang@bnu.edu.cn
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2671-2680
- MSC (2000): Primary 42B20; Secondary 42B30, 42B25, 43A99
- DOI: https://doi.org/10.1090/S0002-9939-05-07781-6
- MathSciNet review: 2146213