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Multiplication operators on Bergman spaces.
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Interpolation by functions in Bergman spaces.
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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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Hardy space and Bergman space on the Octonions
Approximation Theory and its Applications, 2000Summary: Square-integrable octonion-valued function spaces on \(\mathbb{R}^3\) and \(\mathbb{R}^7\) are decomposed into the direct sum of octonion Hardy and conjugate Hardy spaces, and square-integrable octonion function spaces on the upper half spaces \(\mathbb{R}^4_+\) and \(\mathbb{R}^8_+\) are decomposed into infinity direct sum of subspaces in ...
Peng, Lizhong, Zhao, Jiman
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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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Compact Operators on Bergman Spaces
Integral Equations and Operator Theory, 2004Let \(L_a^p ...
Miao, Jie, Zheng, Dechao
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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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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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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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