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Schatten classes of composition operators on Dirichlet Type Spaces with Superharmonic weights

Zuoling Liu
대한수학회 (The Korean Mathematical Society)|2024.07|대한수학회보 (Bulletin of the KMS)|제61권 제4호|pp. 875-895|DOI 10.4134/BKMS.b220069

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참고문헌

키워드

Toeplitz operatorComposition operatorDirichlet spaceBergman spaceSchatten classsuperharmonic weight
주제분류수학

초록

In this paper, we completely characterize the Schatten classes of composition operators on the Dirichlet type spaces with superharmonic weights. Our investigation is basced on building a bridge between the Schatten classes of composition operators on the weighted Dirichlet type spaces and Toeplitz operators on weighted Bergman spaces.

Abstract

In this paper, we completely characterize the Schatten classes of composition operators on the Dirichlet type spaces with superharmonic weights. Our investigation is basced on building a bridge between the Schatten classes of composition operators on the weighted Dirichlet type spaces and Toeplitz operators on weighted Bergman spaces.

참고문헌 (22)

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