Results 21 to 30 of about 1,076,716 (239)
Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
Fractal and Fractional, 2022 This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil +6 more
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Compact Operators via the Berezin Transform [PDF]
, 1998 In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even
Axler, Sheldon, Zheng, Dechao
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AIMS Mathematics, 2021 In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent $ q $-starlike functions. These problems include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem ...
Huo Tang +3 more
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A hyperbolic universal operator commuting with a compact operator [PDF]
, 2019 A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces.
Cowen, Carl C. +1 more
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Toeplitz Operators on Dirichlet-Type Space of Unit Ball
Abstract and Applied Analysis, 2014 We construct a function u in L2Bn, dV which is unbounded on any neighborhood of each boundary point of Bn such that Toeplitz operator Tu is a Schatten p-class ...
Jin Xia, Xiaofeng Wang, Guangfu Cao
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Generalized Crofoot transform and applications
Concrete Operators, 2023 Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
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Commuting Quasihomogeneous Toeplitz Operator and Hankel Operator on Weighted Bergman Space
Abstract and Applied Analysis, 2013 We characterize the commuting Toeplitz operator and Hankel operator with quasihomogeneous symbols. Also, we use it to show the necessary and sufficient conditions for commuting Toeplitz operator and Hankel operator with ordinary functions.
Jun Yang
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Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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Algebras of truncated Toeplitz operators [PDF]
, 2010 We find necessary and sufficient conditions for the product of two truncated Toeplitz operators on a model space to itself be a truncated Toeplitz operator, and as a result find a characterization for the maximal algebras of bounded truncated Toeplitz ...
Sedlock, N. A.
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Asymmetric truncated Toeplitz operators equal to the zero operator [PDF]
, 2016 Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators.
J. Jurasik, Bartosz Lanucha
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