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Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Lusin area operator Bergmanmetric ball Bergman spaces sampling sequences
2011/7/22
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
weighted Bergman spaces of analytic functions Complex Variables
2011/7/22
Abstract: We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoconvex domai...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2010/12/31
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Toeplitz operators on Bergman spaces of polyanalytic functions
Toeplitz operators Bergman spaces of polyanalytic functions
2010/12/31
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
Weighted composition operators on weighted vector-valued Bergman spaces
weighted composition operator vector-valued Bergman spaces
2010/12/30
In this paper we first introduce weighted vector-valued Bergman spaces ,
Λ of the upper half-plane. We then discuss their basic propertie...
Unitary representations of unimodular Lie groups in Bergman spaces
Unitary representations of unimodular Lie groups Bergman spaces
2010/9/14
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...