Boundedness of admissible area function on nonisotropic Lipschitz space
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- by Jinshou Gao and Houyu Jia PDF
- Proc. Amer. Math. Soc. 133 (2005), 1777-1785 Request permission
Abstract:
Let $B$ be the unit ball in $C^n$, let $S$ be the unit sphere, and let $S_\beta (f)$ be the admissible area function. In this paper, we show that if $f\in Lip_\alpha (S)$, then $S_\beta (f)\in Lip_\alpha (S)$ and there exists a constant $C$ such that $\|S_\beta (f)\|_{Lip_\alpha }\le C \|f\|_{Lip_\alpha }$.References
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Additional Information
- Jinshou Gao
- Affiliation: Department of Mathematics, Fujian Normal University, Fuzhou, 350007, People’s Republic of China
- Address at time of publication: Department of Mathematics, Zhejiang University, Hangzhou, 310028, People’s Republic of China
- Email: gaojinshou@yahoo.com.cn
- Houyu Jia
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou, 310028, People’s Republic of China
- Email: mjhy@zju.edu.cn
- Received by editor(s): September 17, 2003
- Received by editor(s) in revised form: February 20, 2004
- Published electronically: December 20, 2004
- Additional Notes: The second author was supported in part by the Education Department of Zhejiang Province
- Communicated by: Joseph A. Ball
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1777-1785
- MSC (2000): Primary 47B38, 32A37, 42B25
- DOI: https://doi.org/10.1090/S0002-9939-04-07733-0
- MathSciNet review: 2120278