Results 31 to 40 of about 122,241 (182)

The Zero Product of Toeplitz Operators on the 2-Analytic Weighted Bergman Space

Journal of Function Spaces
Two-analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2-analytic weighted Bergman space.
Xia Wang, Yanyue Shi, Bo Zhang, Changguo Wei   +3 more
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Hyponormality of Toeplitz operators with non-harmonic symbols on the Bergman spaces

Journal of Inequalities and Applications, 2021
In this paper, we present some necessary and sufficient conditions for the hyponormality of Toeplitz operator T φ $T_{\varphi }$ on the Bergman space A 2 ( D ) $A^{2}(\mathbb{D})$ with non-harmonic symbols under certain assumptions.
Sumin Kim, Jongrak Lee
doaj   +1 more source

Normal Toeplitz Operators on the Bergman Space

Mathematics, 2020
In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic
Sumin Kim, Jongrak Lee
doaj   +1 more source

Nevanlinna-Pick Interpolation and Factorization of Linear Functionals

, 2011
If $\fA$ is a unital weak-$*$ closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property $\bA_1(1)$, then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels.
Davidson, Kenneth R., Hamilton, Ryan
core   +1 more source

Multipliers on Vector Valued Bergman Spaces [PDF]

Canadian Journal of Mathematics, 2002
AbstractLet X be a complex Banach space and let Bp(X) denote the vector-valued Bergman space on the unit disc for 1 ≤ p < ∞. A sequence (Tn)n of bounded operators between two Banach spaces X and Y defines a multiplier between Bp(X) and Bq(Y) (resp. Bp(X) and lq(Y)) if for any function we have that belongs to Bq(Y) (resp.
Blasco, O., Arregui, J.L.
openaire   +3 more sources

Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series

, 2014
For any given bounded symmetric domain, we prove the existence of commutative $C^*$-algebras generated by Toeplitz operators acting on any weighted Bergman space.
Dawson, Matthew, Quiroga-Barranco, Raúl, Ólafsson, Gestur   +2 more
core   +1 more source

Duality of the Nonreflexive Bergman Space of the Upper Half Plane and Composition Groups

European Journal of Mathematical Analysis
We identify the predual of the nonreflexive Bergman space of the upper half plane with the little Bloch space of the upper half plane consisting of those functions vanishing at point i.
E. O. Gori, J. O. Bonyo
doaj   +1 more source

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

Abstract and Applied Analysis, 2010
The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here.
Stevo Stević
doaj   +1 more source

On an analogue of Schwarz's reflection principle [PDF]

, 2013
We consider the Bergman space on the complex plane.
Napalkov, V. V.
core  

Similarity of Operators in the Bergman Space Setting

, 2012
We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G., Kwon, Hyun-Kyoung, Treil, Sergei   +2 more
core   +1 more source