Results 141 to 150 of about 284 (178)

Multiplication operators on Bergman spaces.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1982
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Area Operators on Bergman Spaces

Acta Mathematica Sinica, English Series, 2023
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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, 2000
Summary: 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 Algebras
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Karen Avetisyan, Klaus Gürlebeck
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Compact Operators on Bergman Spaces

Integral Equations and Operator Theory, 2004
Let \(L_a^p ...
Miao, Jie, Zheng, Dechao
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The Bergman Spaces

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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Composition Operators on Bergman Spaces

Chinese Annals of Mathematics, 2003
The 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, 2000
Let 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, 1999
Let \(\Pi\) 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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