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REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK

Yanyue Shi|Yufeng Lu|Mohammed Albaseer
대한수학회 (The Korean Mathematical Society)|2015.09|대한수학회보 (Bulletin of the KMS)|제52권 제5호|pp. 1649-1660

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참고문헌

키워드

Toeplitz operatorreducing subspacepolydisk
주제분류수학

초록

In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator TzN 1- zM2 on the Bergman space A2(D2), where N and M are positive integers.

Abstract

In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator TzN 1- zM2 on the Bergman space A2(D2), where N and M are positive integers.

참고문헌 (16)

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관련 논문AI추천

Reducing subspaces for Toeplitz operators on the polydiskYanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2013 · 제50권 제2호Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidiskShuhei Kuwahara대한수학회 · 대한수학회보2017 · 제54권 제4호Reducing subspaces of a class of multiplication operatorsBin Liu, Yanyue Shi대한수학회 · 대한수학회보2017 · 제54권 제4호Commutativity and hyponormality of Toeplitz operators on the weighted Bergman spaceChaomei Liu, Yufeng Lu대한수학회 · 대한수학회지2009 · 제46권 제3호The Hyponormal Toeplitz operators on the vector valued Bergman spacePuyu Cui, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2014 · 제51권 제1호ZERO SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENT OF THE DIRICHLET SPACE이영주대한수학회 · 대한수학회보2023 · 제60권 제1호

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