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 o...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.展开更多
In this paper,we investigate the problem of describing the form of Jordan triple derivations on trivial extension algebras.We show that every Jordan triple derivation on a 2-torsion free *-type trivial extension algeb...In this paper,we investigate the problem of describing the form of Jordan triple derivations on trivial extension algebras.We show that every Jordan triple derivation on a 2-torsion free *-type trivial extension algebra is a sum of a derivation and an antiderivation.As its applications,Jordan triple derivations on triangular algebras are characterized.展开更多
文摘本文给出调和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.
基金Supported by Basic Research Foundation of Yunnan Education Department(Nos.2020J0748,2021J0635)Talent Project Foundation of Yunnan Provincial Science and Technology Department(No.202105AC160089)NSF of Yunnan Province(No.202101BA070001198).
文摘In this paper,we investigate the problem of describing the form of Jordan triple derivations on trivial extension algebras.We show that every Jordan triple derivation on a 2-torsion free *-type trivial extension algebra is a sum of a derivation and an antiderivation.As its applications,Jordan triple derivations on triangular algebras are characterized.
