Pseudo-Carleson measures for weighted Bergman spaces. [PDF]
Let \(A^p _\alpha\) denote the space of functions in the disk \({\mathbb D}=\{|z|
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A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES
In this article, we prove that the two-parameter family of operators Ab,c is bounded on the weighted Bergman spaces B p α+c−1 if α + 2 < p and unbounded if α + 2 = p.
S. Naik, P. K. Nath
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Isoperimetric inequalities for conformal moments of plane domains
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
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Pointwise Bernstein-walsh-type Inequalities In Regions With Piecewise Dini-smooth Boundary
In this work, we investigate the order of growth of the modulus of an arbitrary algebraic polynomials in the weighted Bergman space, where the contour and the weight functions have some singularities.
P. Özkartepe
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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces
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
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Trace of Multiplication Operator Restricted to Invariant Subspaces of some Weighted Bergman Space
Let 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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Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach. [PDF]
Bergman DR +3 more
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Integration Operators on Bergman Spaces with exponential weight
We study operators of the form T_{g}f\left( z\right) =\int\nolimits_{0}^{z}f\left( \xi \right) \,g^{\prime }\left( \xi \right) \,d\left( \xi \right) ( g is an ...
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On the induced connection on sections of Toeplitz operators
The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of ...
Mohammed El Aïdi
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