2010•Unpublished venueRequires access

Self-adjoint weighted composition operators on analytic functions spaces

Zhijie Jiang

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Abstract

In this paper,we identify the self-adjoint weighted composition operator acting on Hardy space and Bergman space and isometric self-adjoint weighted composition operator by reproducing kernel function,and when linear fractional maps will be a mapping of unit ball is studied.

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What this paper is about

In this paper,we identify the self-adjoint weighted composition operator acting on Hardy space and Bergman space and isometric self-adjoint weighted composition operator by reproducing kernel function,and when linear fractional maps will be a mapping of unit ball is studied.

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Available abstract

In this paper,we identify the self-adjoint weighted composition operator acting on Hardy space and Bergman space and isometric self-adjoint weighted composition operator by reproducing kernel function,and when linear fractional maps will be a mapping of unit ball is studied.

Key concepts: Mathematics, Composition operator, Hardy space, Composition (language), Unit sphere, Self-adjoint operator, Quasinormal operator, Isometric exercise

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