Results 221 to 230 of about 5,225,560 (274)
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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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A Derivative-Hilbert operator acting on Bergman spaces
, 2022S. Ye, Zhihui Zhou
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Hankel operators on exponential Bergman spaces
Science China Mathematics, 2021Zhangjian Hu, Jordi Pau
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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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