Results 151 to 160 of about 284 (178)

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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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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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.
Napalkov, V. V. jun., Yulmukhametov, R. S.   +1 more
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On Grand and Small Bergman Spaces

Mathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karapetyants, A. N., Samko, S. G.
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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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On the Coefficient Multipliers of Bergman Spaces

Journal of the London Mathematical Society, 1994
The Bergman space \(A^ p\) is the space of analytic \(L^ p\) functions in the unit disk with respect to the area measure \((0 ...
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Isometries of Weighted Bergman Spaces

Canadian Journal of Mathematics, 1982
In [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

2013
Coorbit 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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Zero Multipliers of Bergman Spaces

Canadian Mathematical Bulletin, 1985
AbstractThis 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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A Factoring Theorem for The Bergman Space

Bulletin of the London Mathematical Society, 1994
The paper under review is a condensed version of the author's previous work [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)], establishing a factorization theory for the Bergman space \(L^ 2_ a(D)\). (This is the standard Bergman space consisting of functions analytic in the unit disk \(D\) and square area-integrable over \(D\).) This shorter ...
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