Results 11 to 20 of about 125,313 (280)
Compact generalized weighted composition operators on the Bergman space [PDF]
Opuscula Mathematica, 2017 We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
Qinghua Hu, Xiangling Zhu
doaj +1 more source
The Numerical Range of Toeplitz Operator on the Polydisk
Abstract and Applied Analysis, 2009 The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
doaj +1 more source
Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
Journal of Function Spaces, 2015 We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
doaj +1 more source
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
doaj +1 more source
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
core +5 more sources
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
doaj +1 more source
Bounded extremal problems in Bergman and Bergman-Vekua spaces [PDF]
Complex Variables and Elliptic Equations, 2020 We analyze Bergman spaces A p f (D) of generalized analytic functions of solutions to the Vekua equation $\partial$w = ($\partial$f /f)w in the unit disc of the complex plane, for Lipschitz-smooth non-vanishing real valued functions f and 1 < p < $\infty$.
Delgado, Briceyda, Leblond, Juliette
openaire +2 more sources
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
doaj +1 more source
Geometric Hardy and Bergman spaces. [PDF]
Michigan Mathematical Journal, 2000 This paper shows the relation between the generalized Hardy space and the geometric Hardy space. The authors first recall the properties of the geometric Bergman spaces on a complex manifold and then define the general bundle-valued Hardy spaces. After then, using the theory of Hardy spaces such as the Cayley transform, they establish the properties of
Bertram, Wolfgang, Hilgert, Joachim
openaire +2 more sources
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
doaj +1 more source