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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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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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An Integral Formula in Weighted Bergman Spaces
Computational Methods and Function Theory, 2010This paper is best described by its abstract: ``In order to establish that extremal functions in the Bergman space \(A^p\) act as both expansive multipliers and contractive divisors, \textit{P. Duren, D. Khavinson, H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
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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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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 Bergman spaces¶associated with causal symmetric spaces
manuscripta mathematica, 1999Let \(X=H\backslash G\) be an irreducible symmetric space, \({\mathbf g}={\mathbf h}+{\mathbf q}\) the corresponding decomposition of the Lie algebra \({\mathbf g}\) of \(G\), and \({\mathbf g}={\mathbf k}+{\mathbf p}\) a compatible Cartan decomposition.
Hilgert, Joachim, Krötz, Bernhard
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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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Weighted Composition Operators on Bergman and Dirichlet Spaces
gmj, 1997Abstract Let 𝐻(Ω) denote a functional Hilbert space of analytic functions on a domain Ω. Let 𝑤 : Ω → 𝐂 and ϕ : Ω → Ω be such that 𝑤 𝑓 ○ ϕ is in 𝐻(Ω) for every 𝑓 in 𝐻(Ω). The operator 𝑤𝐶 ϕ Given by 𝑓 → 𝑤 𝑓 ○ ϕ is called a weighted composition operator on 𝐻(Ω).
Mirzakarimi, G., Seddighi, K.
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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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POINTWISE MULTIPLIERS FROM A WEIGHTED BERGMAN SPACE TO A WEIGHTED BERGMAN SPACE
Far East Journal of Mathematical Sciences (FJMS), 2022openaire +1 more source