Results 31 to 40 of about 5,225,560 (274)

Little Hankel operators on the Bergman space

open access: yesArab 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

Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space [PDF]

open access: yesCommunications in Mathematics and Statistics, 2019
We characterize bounded and compact positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space.
Congwen Liu, Jiajia Si
semanticscholar   +1 more source

Sub-Bergman Hilbert spaces on the unit disk III [PDF]

open access: yesCanadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023
For a bounded analytic function $\varphi $ on the unit disk $\mathbb {D}$ with $\|\varphi \|_\infty \le 1$ , we consider the defect operators $D_\varphi $ and $D_{\overline \varphi }$ of the Toeplitz operators $T_{\overline \varphi }$ and ...
S. Luo, Kehe Zhu
semanticscholar   +1 more source

On Distance Function in Some New Analytic Bergman Type Spaces in ℂn

open access: yesJournal of Function Spaces, 2014
We extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new analytic Bergman type spaces in higher dimensions in ℂn.
Romi F. Shamoyan, Olivera R. Mihić
doaj   +1 more source

Geometric Hardy and Bergman spaces. [PDF]

open access: yesMichigan 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

Dynamics of differentiation operators on generalized weighted Bergman spaces

open access: yesOpen Mathematics, 2014
The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous.
Zhang Liang, Zhou Ze-Hua
doaj   +1 more source

Essential spectra of weighted composition operators with hyperbolic symbols

open access: yesConcrete Operators, 2015
In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic ...
Hyvärinen Olli, Nieminen Ilmari
doaj   +1 more source

Compact differences of composition operators on large weighted Bergman spaces [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2019
While there have been extensive studies regarding the theory of composition operators in standard Bergman spaces, there have not been many results pertaining to large Bergman spaces due to a lack of useful tools.
Inyoung Park
semanticscholar   +1 more source

Isometric weighted composition operators on weighted Bergman spaces

open access: yesJournal of Mathematical Analysis and Applications, 2018
N. Zorboska
semanticscholar   +3 more sources

Monsters in Hardy and Bergman spaces [PDF]

open access: yes, 2002
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary.
Bernal González, Luis   +1 more
core   +1 more source

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