Results 161 to 170 of about 1,085 (195)
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Bergman spaces with exponential weights
Journal of Functional Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Zhangjian +2 more
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Weighted Composition Operators between Bergman Spaces with Exponential Weights
Acta Mathematica Sinica, English Series, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Guang Fu, He, Li, Zhang, Yi Yuan
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Hadamard–Bergman Operators on Weighted Spaces
Complex Analysis and Operator TheoryThe purpose of the authors is to provide a generalization of the definition of the Hadamard-Bergman operator to the case of an arbitrary Radon measure as well as the study of such general operators in weighted spaces. Furthermore, they give meaningful examples including the integrodifferentiation operator of variable order and certain Volterra type ...
Karapetyants, Alexey +2 more
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WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
Journal of the London Mathematical Society, 2004This paper is concerned with the study of weighted composition operators on the Bergman space \(L_a^2\) of all functions holomorphic in the unit disk \(D\) for which \(\| f\| _2^2=\int_D| f(z)| ^2dA(z)
Čučković, Željko, Zhao, Ruhan
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2000
In this section we study some basic tools of analysis such as integration in various versions of polar coordinates and certain fundamental functions which appear in all later investigations.
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In this section we study some basic tools of analysis such as integration in various versions of polar coordinates and certain fundamental functions which appear in all later investigations.
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On generalized weighted bergman spaces
Complex Variables, Theory and Application: An International Journal, 2004The generalized weighted Bergman space (w is a modulus function) on the unit disk U, and the composition operators acting on this space are studied. Among other things, criteria for continuity and compactness are presented.
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Intersections and Unions of Weighted Bergman Spaces
Computational Methods and Function Theory, 2006The authors compare unions and intersections of the following spaces of analytic functions in the open unit disk, previously studied by \textit{R. Zhao} [Ann. Acad. Sci. Fenn. Diss. 105, 1--56(1996; Zbl 0851.30017)]: \[ F (p, q, s) = \biggl\{f \in H(D) : \sup\, {a\in D}\int_{D} | f'(z) |^{p}(1- | z|^{2})^{q}g^{s}(z,a) \,d A(z)< \infty\biggr\}, \] where
Korhonen, Risto, Rättyä, Jouni
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Hadamard–Bergman type operators in weighted Lebesgue and Bergman spaces
Boletín de la Sociedad Matemática MexicanazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexey Karapetyants +2 more
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The Bergman Projection on Weighted Norm Spaces
Canadian Journal of Mathematics, 1980Quite recently Bekollé and Bonami [1] have characterized the weighted measures λ on the unit disk Δ for which the Bergman projection is bounded on Lp(Δ : λ), 1 < p < ∞. Our methods in [4] can be applied to even extend their result by replacing the unit disk with multiply connected domains.
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Pointwise multipliers from weighted Bergman spaces and Hardy spaces to weighted Bergman spaces
2004Given analytic function spaces \(X\) and \(Y\) on the unit disk in the complex plane, let \(M(X, Y)\) be the space of all analytic pointwise multipliers from \(X\) into \(Y\). In this paper, the author provides characterizations of \(M(X, Y)\) for two cases.
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