Isometric multiplication operators and weighted composition operators of BMOA

Author:

Geng LigangORCID

Abstract

AbstractLet u be an analytic function in the unit disk $\mathbb{D}$ D and φ be an analytic self-map of $\mathbb{D}$ D . We give characterizations of the symbols u and φ for which the multiplication operator $M_{u}$ M u and the weighted composition operator $M_{u,\varphi }$ M u , φ are isometries of BMOA.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Chongqing

Chongqing Key Laboratory of Social Economy and Applied Statistics

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference20 articles.

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3. Garnett, J.B.: Bounded Analytic Functions. Academic Press, New York (1981)

4. Axler, S.: Multiplication operators on Bergman spaces. J. Reine Angew. Math. 1982(336), 19 (1982)

5. Feng, X., Zhang, K., Dong, J., Liu, X., Guan, C.: Multiplication operator with BMO symbols and Berezin transform. J. Funct. Spaces 2015, Article ID 754646 (2016)

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