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Bounded, compact and Schatten class weighted composition operators between weighted Bergman spaces

Elke Wolf
대한수학회 (The Korean Mathematical Society)|2011.07|대한수학회논문집 (Communications of the KMS)|제26권 제3호|pp. 455-462

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참고문헌

키워드

weighted Bergman spacecomposition operator
주제분류수학

초록

An analytic self-map Φ of the open unit disk D in the complex plane and an analytic map ψ on D induce the so-called weighted composition operator C_(Φ, ψ): H(D) → H(D), f → ψ (f (기호) Φ), where H(D) denotes the set of all analytic functions on D. We study when such an operator acting between different weighted Bergman spaces is bounded, compact and Schatten class.

Abstract

An analytic self-map Φ of the open unit disk D in the complex plane and an analytic map ψ on D induce the so-called weighted composition operator C_(Φ, ψ): H(D) → H(D), f → ψ (f (기호) Φ), where H(D) denotes the set of all analytic functions on D. We study when such an operator acting between different weighted Bergman spaces is bounded, compact and Schatten class.

참고문헌 (18)

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관련 논문AI추천

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