New Poisson–Sch type inequalities and their applications in quantum calculus
Journal of Inequalities and Applications, 2018 The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of
Tao Liu, Xinjuan Chen, Yifan Xing
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Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball
Journal of Function Spaces, 2015 We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball.
Alma García, Nikolai Vasilevski
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Invertible weighted composition operators in the unit ball
四川大学学报. 自然科学版, 2016 The operator Cψ,φ that maps a holomorphic function f to ψ*f。φis called weighted composition operator,where ψ is a holomorphic function and φ is a holomorphic map.
ZHANG Kuang
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A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES
Проблемы анализа, 2019 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
Journal of Inequalities and Applications, 2002 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
MANAS: Journal of Engineering, 2017 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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Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach. [PDF]
Bull Math Biol, 2023 Bergman DR +3 more
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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
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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 ...
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