Abstract
In this paper, some classical estimates between the norms of α-Bloch spaces B α and Lipschitz classes Lip1−α , 0 < α < 1, are improved.
Similar content being viewed by others
References
Zhang, M., Xu, W.: Composition operators on α-Bloch spaces of the unit ball. Acta Mathematica Sinica, English Series, 23, 1991–2002 (2007)
Yang, W., Ouyang, C.: Exact location of α-Bloch spaces in L p α and H p of a complex unit ball. Rocky Mountain J. Math., 30, 1151–1169 (2000)
Zhang, X., Xiao, J. B.: Weighted composition operator between µ-Bloch spaces on the unit ball. Sci. China, Ser. A, 48, 1349–1368 (2005)
Chen, H., Gauthier, P.: Composition operators on µ-Bloch spaces. Canadian Journal of Mathematics, 61, 50–75 (2009)
Timoney, R.: Bloch function in several complex variables I. Bull. London Math. Soc., 12, 241–267 (1980)
Rudin, W.: Function Theory in the Unit Ball of ℂn, Springer-Verlag, New York-Heidelberg-Berlin, 1980, 23–30
Chen, H.: Characterizations of α-Bloch functions on the unit ball without use of derivative. Sci. China Ser. A, 51, 1965–1981 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by National Natural Science Foundation of China (Grant No. 10671093)
Electronic supplementary material
Rights and permissions
About this article
Cite this article
Chen, H.H. α-Bloch functions and Lipschitz classes. Acta. Math. Sin.-English Ser. 28, 2355–2364 (2012). https://doi.org/10.1007/s10114-012-9619-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10114-012-9619-z