Results 121 to 130 of about 5,191 (168)
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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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2020
The intention of this article is to describe a particular example; it is a simple example, but I hope it is sufficiently appealing to induce the reader to think about the questions it raises. The reader is warned that this is not a research article, but rather an illustrative one.
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The intention of this article is to describe a particular example; it is a simple example, but I hope it is sufficiently appealing to induce the reader to think about the questions it raises. The reader is warned that this is not a research article, but rather an illustrative one.
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Polynomial Approximation in Bergman Spaces
Ukrainian Mathematical Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isometries of Weighted Bergman Spaces
Canadian Journal of Mathematics, 1982In [2], [8] and [10], Forelli, Rudin and Schneider described the isometries of the Hp spaces over balls and polydiscs. Koranyi and Vagi [6] noted that their methods could be used to describe the isometries of the Hp spaces over bounded symmetric domains.
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Coorbit Theory and Bergman Spaces
2013Coorbit theory arose as an attempt to describe in a unified fashion the properties of the continuous wavelet transform and the STFT (Short-time Fourier transform) by taking a group theoretical viewpoint. As a consequence H.G. Feichtinger and K.H. Grochenig have established a rather general approach to atomic decomposition for families of Banach spaces (
Feichtinger, Hans, Pap, Margit
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