Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space
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DOI: 10.1007/s10114-021-0315-8
Abstract: In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement of the harmonic Bergman space. This generalizes the corresponding results for dual Toeplitz operators… read more here.
Keywords: bergman space; toeplitz operators; orthogonal complement; dual toeplitz ... See more keywords
m-Berezin Transform and Approximation of Operators on the Bergman Space Over Bounded Symmetric Domains
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DOI: 10.1007/s11785-015-0519-y
Abstract: We study m-Berezin transforms of bounded operators on the Bergman space over a bounded symmetric domain, $$\Omega $$Ω. We use the m-Berezin transform to establish some results on norm approximation of bounded linear operators acting… read more here.
Keywords: berezin transform; operators bergman; bounded symmetric; bergman space ... See more keywords
Norm Estimates for Toeplitz Operators on the Bergman Space with Symbols Supported in Circles and Mixed Norms
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DOI: 10.1007/s11785-016-0539-2
Abstract: In this paper we study the class of Toeplitz operators $$T_{\varphi }$$Tφ, for which $$\int _{0}^{1}\left( 1-t\right) ^{q-1}\left\| T_{\varphi d\sigma _{t}}\right\| _{p}^{q}dt read more here.
Keywords: norm estimates; operators bergman; bergman space; toeplitz operators ... See more keywords
Estimates for the Polyharmonic Bergman Kernel and Their Applications
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DOI: 10.1007/s11785-018-0875-5
Abstract: We consider the space of all square integrable polyharmonic functions of degree m on the unit ball which is called the weighted m-polyharmonic Bergman space. We give an explicit orthonormal basis of the weighted true… read more here.
Keywords: true polyharmonic; space; bergman space; polyharmonic bergman ... See more keywords
Closed Range Type Properties of Toeplitz Operators on the Bergman Space and the Berezin Transform
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DOI: 10.1007/s11785-019-00949-4
Abstract: We characterize the multiplication operators with closed range on the Bergman space in terms of the Berezin transform, and apply this characterization to finite products of interpolating Blaschke products. We give some necessary and some… read more here.
Keywords: closed range; bergman space; toeplitz operators; berezin transform ... See more keywords
Reducing Subspaces of Analytic Toeplitz Operators on the Bergman Space of the Annulus
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DOI: 10.1007/s11785-019-00957-4
Abstract: Let $$\mathbb {A}_{r}$$ be the annulus $$\{z\mid \,|z| read more here.
Keywords: subspaces analytic; toeplitz; reducing subspaces; bergman space ... See more keywords
Hyponormality of Toeplitz operators with polynomial symbols on the weighted Bergman space
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DOI: 10.1007/s40065-017-0170-8
Abstract: This paper gives the complete proof of the Conjecture given by Hazarika and this author jointly which deals with a necessary and sufficient condition for the hyponormality of Toeplitz operator, $$T_\varphi $$Tφ on the weighted… read more here.
Keywords: polynomial symbols; bergman space; hyponormality toeplitz; weighted bergman ... See more keywords
Adaptive Rational Approximation in Bergman Space on Bounded Symmetric Domain
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DOI: 10.1016/j.jmaa.2021.125591
Abstract: Abstract We generalize the pre-orthogonal adaptive Fourier approximation developed by T. Qian et al [11] , [9] , [5] to functions in the Bergman space on the unit disc and the unit ball to the… read more here.
Keywords: bergman space; symmetric domain; approximation; bounded symmetric ... See more keywords
Biharmonic Bergman space and its reproducing kernel
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DOI: 10.1080/17476933.2017.1403424
Abstract: ABSTRACT We consider the weighted polyharmonic Bergman space , where is the space of all real-valued polyharmonic functions of degree m on and . has the reproducing kernel which is called by the weighted polyharmonic… read more here.
Keywords: reproducing kernel; space; space reproducing; biharmonic bergman ... See more keywords