Results 21 to 30 of about 4,854,913 (333)
Note on a new class of operators between some spaces of holomorphic functions
AIMS Mathematics, 2023 The boundedness and compactness of a new class of linear operators from the weighted Bergman space to the weighted-type spaces on the unit ball are characterized.
Stevo Stević
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Majorization and domination in the Bergman space [PDF]
Proceedings of the American Mathematical Society, 1993 Let f f and g g be functions analytic on the unit disk and let | | ⋅ | | || \cdot || denote the Bergman norm. Conditions are identified under which there exists an absolute constant c c
Korenblum, Boris, Richards, Kendall
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Bergman kernels and symplectic reduction [PDF]
, 2005 We generalize several recent results concerning the asymptotic expansions of Bergman kernels to the framework of geometric quantization and establish an asymptotic symplectic identification property.
Ma, Xiaonan, Zhang, Weiping
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Multiplication Operator with BMO Symbols and Berezin Transform
Journal of Function Spaces, 2015 We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng +4 more
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On the Commutativity of a Certain Class of Toeplitz Operators
Concrete Operators, 2014 One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Little Hankel operators on the Bergman space
Arab Journal of Mathematical Sciences, 2016 In this paper we obtain a characterization of little Hankel operators defined on the Bergman space of the unit disk and then extend the result to vector valued Bergman spaces.
Namita Das, Pabitra Kumar Jena
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The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn
Abstract and Applied Analysis, 2010 In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1)
Luo Luo, Yang Xuemei
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Hyponormal Toeplitz operators on the Bergman space
, 2017 A Hilbert space operator is hyponormal if T ∗T − TT ∗ is positive. We consider hyponormality of Toeplitz operators on the Bergman space with a symbol in the class of f + g where f is a monomial and g is a polynomial.
Houcine Sadraoui, M. Guediri
semanticscholar +1 more source
The C-property for slice regular functions and applications to the Bergman space [PDF]
, 2013 This article has a twofold purpose: on one hand, we deepen the study of slice regular functions by studying their behaviour with respect to the so-called C-property and anti-C-property.
F. Colombo +2 more
semanticscholar +1 more source
Sampling with Derivatives in the Bergman Space [PDF]
Sampling Theory in Signal and Image Processing, 2017 Summary: We characterize sets of sampling for Bergmann space functions and their derivatives. In particular, we show that the methods used in the setting of the Bargmann-Fock space can be adapted to our purpose.
Cahill, Jameson, Schuster, Alexander
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