Weighted Composition Operators from a-Bloch Spaces to H∞

Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 370-376.

Weighted Composition Operators from a-Bloch Spaces to H^∞

Department of Mathematics Huzhou Teacher’s College Huzhou 313000,China

Received:2005-01-14 Online:2007-09-30 Published:2023-10-26
About author: TANG Xiao-min(1976-), male, native of Tongxiang, Zhejiang, a lecturer of Huzhou Teacher's, Callege, M.S.D., engages in complex variables and operator theory.
Supported by:
Supported by the National Natural Science Foundation of China(10471039); Supported by the Natural Science Foundation of Zhejiang Province(Y606197); Supported by the Natural Science Foundation of Huzhou City(2005YZ02)

Abstract

Abstract: The article not only presents the boundedness and compactness of the weighted composition operator fromα-Bloch spaces(or littleα-Bloch spaces) to H^∞,but also gives some estimates for the norm of the weighted composition operator.

Key words: weighted composition operator, a-Bloch space, little a-Bloch space, weighted composition operator, H^∞, a-Bloch space, little a-Bloch space, H^∞

CLC Number:

O174.5

TANG Xiao-min. Weighted Composition Operators from a-Bloch Spaces to H^∞[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 370-376.

[1]	GUO Ji-dong, LIU Pin, GAO Wen-hua, NUERDANBIEKE Baitakazi. Boundedness of Weighted Composition Operators on Bloch Type Spaces [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 356-359.
[2]	XU Hui-ming, LIU Tai-shun . Weighted Composition Operators between Hardy Spaces on the Unit Ball [J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 111-119.

Weighted Composition Operators from a-Bloch Spaces to H^∞

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