Results 131 to 140 of about 1,668 (232)
HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES
, 2020 In this paper we consider the block Toeplitz operators T-Phi on the weighted Bergman space A(alpha)(2)(D, C-n) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Phi ...
이종락
core
Rudin orthogonality problem on the Bergman space
, 2011 In this paper, we study the Rudin orthogonality problem on the Bergman space, which is to characterize those functions bounded analytic on the unit disk whose powers form an orthogonal set in the Bergman space of the unit disk.
Dechao Zheng +3 more
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Weighted BMO and Hankel operators between weighted Bergman spaces
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ and use them to characterize complex functions $f$ such that the big Hankel operators $H_f$ and $H\overline{_f}$ are both bounded or compact from a ...
Zhu, Keke, Pau, Jordi, Zhao, Ruhan
core
An operator inequality for weighted Bergman shift operators
, 2013 We prove an operator inequality for the Bergman shift operator on weighted Bergman spaces of analytic functions in the unit disc with weight function controlled by a curvature parameter α assuming nonnegative integer values.
Olofsson, Anders +3 more
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Composition operators with maximal norm on weighted Bergman spaces
, 2006 We prove that any composition operator with maximal norm on one of the weighted Bergman spaces is induced by a disk automorphism or a map that fixes the origin. This result demonstrates a major difference between the weighted Bergman spaces and the Hardy
Hammond, Christopher, Carswell, Brent J.
core
Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces
Journal of Inequalities and Applications, 2008 Let be a holomorphic self-map and let be a holomorphic function on the unit ball . The boundedness and compactness of the weighted composition operator from the generalized weighted Bergman space into a class of weighted-type spaces are studied in
Gu Dinggui
doaj
Hankel Operators on Bergman Spaces with Change of Weight.
MATHEMATICA SCANDINAVICA, 1992 Let \(A\) be the weighted Bergman space of analytic functions in \(L^ 2(\Omega, \mu)\), where \(\Omega\) is an open set in \(\mathbb{C}^ n\), and \(\mu\) is a suitable measure on \(\Omega\). Let \(f\) be a measurable function on \(\Omega\). The big Hankel operator \(H_ f\) is defined for \(g\in A\) via \(H_ f(g)= (1-P)(fg)\), where \(P\) is the ...
openaire +2 more sources
Pointwise estimates for the Bergman kernel of the weighted Fock space
, 2014 We prove upper pointwise estimates for the Bergman kernel of the weighted Fock space of entire functions in $L^{2}(e^{-2\phi}) $ where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure.
Marzo Sánchez, Jordi +1 more
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Trace of Multiplication Operator Restricted to Invariant Subspaces of some Weighted Bergman Space
Cumhuriyet Science JournalLet ω be a logarithmically subharmonic weight that is radial and reproducing for the origin, and L_a^2 (D,ωdA) be the weighted Bergman space. Let f be a bounded holomorphic function on the open unit disc, I be a z-invariant subspace of L_a^2 (D,ωdA), and
Faruk Yılmaz
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