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Pure Mathematics 2025
调和Bergman空间上斜Toeplitz算子的衍生算子
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Abstract:
本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念，并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。
In this paper, the concepts of slant Toeplitz operators and its derivative operators on harmonic Bergman Spaces are given, and the integral representation, boundness and compactness of the derivative operators are introduced. The boundedness and compactness provide a method for the subsequent studies of boundedness and compactness of slant Toeplitz operators.
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