Results 211 to 220 of about 3,900,799 (251)

Bergman Operators on Clifford Monogenic Bergman Spaces

Advances in Applied Clifford Algebras
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Karen Avetisyan, Klaus Gürlebeck
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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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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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Bergman Spaces on Disconnected Domains

Canadian Journal of Mathematics, 1996
AbstractFor 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, Richter, Stefan, Ross, William T.   +2 more
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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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Compact Operators on Bergman Spaces

Integral Equations and Operator Theory, 2004
Let \(L_a^p ...
Miao, Jie, Zheng, Dechao
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On the Hilbert Transform in Bergman Space

Mathematical Notes, 2001
This paper determines the image of the Bergman \(L^2\) space of a simply connected planar domain with Jordan boundary under the Hilbert transform.
R S Yulmukhametov, V V Napalkov
exaly   +2 more sources

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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THE BERGMAN METRIC ON TEICHMÜLLER SPACE

International Journal of Mathematics, 2004
We give a simple proof of a theorem of McMullen on Kähler hyperbolicity of moduli space of Riemann surfaces by using the Bergman metric on Teichmüller space.
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Toeplitz Operators on Bergman Spaces

Canadian Journal of Mathematics, 1982
Let G be a bounded, open, connected, non-empty subset of the complex plane C. We put the usual two dimensional (Lebesgue) area measure on G and consider the Hilbert space L2(G) that consists of the complex-valued, measurable functions defined on G that are square integrable. The inner product on L2(G) is given by the norm ‖h‖2 of a function h in L2(G)
Axler, Sheldon, Conway, John B., McDonald, Gerard   +2 more
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