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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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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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2013
In this paper we study weighted Bergman spaces, through Green function and Mobius transformations, and its relationship and remarkable differences with the F(p, q, s) Zhao spaces and so with other classical weighted function spaces.
L. Luís Javier Carmona +2 more
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In this paper we study weighted Bergman spaces, through Green function and Mobius transformations, and its relationship and remarkable differences with the F(p, q, s) Zhao spaces and so with other classical weighted function spaces.
L. Luís Javier Carmona +2 more
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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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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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Toeplitz Operators on Bergman Spaces
Canadian Journal of Mathematics, 1982Let 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 +2 more
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1992
Throughout this chapter, p denotes a number satisfying 1 ≤ p < ∞. The Bergman space b p (Ω) is the set of harmonic functions u on Ω such that $${\left\| u \right\|_p} = {\left( {\int_\Omega {{{\left| u \right|}^p}dV} } \right)^{1/p}} < \infty $$ .
Sheldon Axler, Paul Bourdon, Wade Ramey
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Throughout this chapter, p denotes a number satisfying 1 ≤ p < ∞. The Bergman space b p (Ω) is the set of harmonic functions u on Ω such that $${\left\| u \right\|_p} = {\left( {\int_\Omega {{{\left| u \right|}^p}dV} } \right)^{1/p}} < \infty $$ .
Sheldon Axler, Paul Bourdon, Wade Ramey
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Zero Multipliers of Bergman Spaces
Canadian Mathematical Bulletin, 1985AbstractThis paper proves that if р < s, then 0 is the only function that multiplies a Bergman Lр space into a Bergman Ls space.
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