2002•Unpublished venueRequires access

Carleson measure and Carleson measure in weighted Bergman space

YU Wei-hong

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Abstract

The relationship between two Carleson measures is studied by use of the definition of α -order Carleson measure. Theorem 1 is obtained, and a corollary is deduced: the α-order Carleson measure can be described by an integral inequality of L α p function. In addition, theorem 2 is used to describe the relationship between the α -order Carleson measure and the Carleson measure in weighted Bergman space based on the definition of Carleson measure in the Bergman space and some related definitions and principles of the operator theory.

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The relationship between two Carleson measures is studied by use of the definition of α -order Carleson measure. Theorem 1 is obtained, and a corollary is deduced: the α-order Carleson measure can be described by an integral inequality of L α p function. In addition, theorem 2 is used to describe the relationship between the α -order Carleson measure and the Carleson measure in weighted Bergman space based on the definition of Carleson measure in the Bergman space and some related definitions and principles of the operator theory.

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Available abstract

The relationship between two Carleson measures is studied by use of the definition of α -order Carleson measure. Theorem 1 is obtained, and a corollary is deduced: the α-order Carleson measure can be described by an integral inequality of L α p function. In addition, theorem 2 is used to describe the relationship between the α -order Carleson measure and the Carleson measure in weighted Bergman space based on the definition of Carleson measure in the Bergman space and some related definitions and principles of the operator theory.

Key concepts: Measure (data warehouse), Corollary, Mathematics, Bergman space, Order (exchange), Space (punctuation), Pure mathematics, Operator (biology)

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