Results 271 to 280 of about 4,854,913 (333)
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On the Dimension of the Bergman Space for Some Unbounded Domains
, 2016A sufficient condition for the infinite dimensionality of the Bergman space of a pseudoconvex domain is given. This condition holds on any pseudoconvex domain that has at least one smooth boundary point of finite type in the sense of D’Angelo.
Anne-Katrin Gallagher +2 more
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Bergman Spaces on Disconnected Domains
Canadian Journal of Mathematics, 1996AbstractFor a bounded region G ⊂ ℂ and a compact set K ⊂ G, with area measure zero, we will characterize the invariant subspaces ℳ (under ƒ → zƒ) of the Bergman space (G \ K), 1 ≤ p < ∞, which contain (G) and with dim(ℳ/(z - λ)ℳ) = 1 for all λ ∈ G \ K.
Aleman, Alexandru +2 more
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Area Operators on Bergman Spaces
Acta Mathematica Sinica, English Series, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lv, Xiao Fen, Pau, Jordi, Wang, Mao Fa
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Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case
, 2016The definition of Toeplitz operators in the Bergman space of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work.
G. Rozenblum, N. Vasilevski
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Bergman Operators on Clifford Monogenic Bergman Spaces
Advances in Applied Clifford AlgebraszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karen Avetisyan, Klaus Gürlebeck
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2000
In this chapter we introduce the Bergman spaces and concentrate on the general aspects of these spaces. Most results are concerned with the Banach (or metric) space structure of Bergman spaces. Almost all results are related to the Bergman kernel. The Bloch space appears as the image of the bounded functions under the Bergman projection, but it also ...
Haakan Hedenmalm +2 more
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In this chapter we introduce the Bergman spaces and concentrate on the general aspects of these spaces. Most results are concerned with the Banach (or metric) space structure of Bergman spaces. Almost all results are related to the Bergman kernel. The Bloch space appears as the image of the bounded functions under the Bergman projection, but it also ...
Haakan Hedenmalm +2 more
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On quaternionic bergman and poly-bergman spaces
Complex Variables, Theory and Application: An International Journal, 2000Let п be the upper half-space in consider the Bergman space , the subspace of all left-ψ-hyper-holomorphic valued functions from . Complete decomposition of onto Bergman and Bergman type spaces of poly-ψ-hyper-holomorphic and poly-ψ-hyper-holomorphic functions is obtained. Simple isomorphic descriptions of all these spaces are given.
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On the structure of Bergman and poly-Bergman spaces
Integral Equations and Operator Theory, 1999Let \(\Pi\) be the upper complex halfplane, \(\mathbb{R}\) the real axis, \(\mathbb{R}_+\) the positive real axis, and \(H^2_+(\mathbb{R})\) the Hardy space of those members of \(L_2(\mathbb{R})\) with analytic extensions of \(\Pi\). It is well known that the Fourier transform \(F\) is an isometric isomorphism of \(L_2(\mathbb{R})\) such that \(F(H^2_+(
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Compact Operators on Bergman Spaces
Integral Equations and Operator Theory, 2004Let \(L_a^p ...
Miao, Jie, Zheng, Dechao
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Composition Operators on Bergman Spaces
Chinese Annals of Mathematics, 2003The main goal of the present paper is to provide a function theoretic characterization of the inducing maps \(\varphi\) and \(\psi\) for which the operators \(C_\phi C^*_\psi\) and \(C^*_\psi C_\phi\) are compact on the standard weighted Bergman spaces.
Clifford, J. H., Zheng, Dechao
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