Reproducing Kernel Estimates, Bounded Projections and Duality on Large Weighted Bergman Spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولBergman projections on weighted Fock spaces in several complex variables
Let ϕ be a real-valued plurisubharmonic function on [Formula: see text] whose complex Hessian has uniformly comparable eigenvalues, and let [Formula: see text] be the Fock space induced by ϕ. In this paper, we conclude that the Bergman projection is bounded from the pth Lebesgue space [Formula: see text] to [Formula: see text] for [Formula: see text]. As a remark, we claim that Bergman projecti...
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Let Ω be a domain in Cn, F a nonnegative and G a positive function on Ω such that 1/G is locally bounded, Aα the space of all holomorphic functions on Ω square-integrable with respect to the measure FαGdλ, where dλ is the 2n-dimensional Lebesgue measure, and Kα(x, y) the reproducing kernel for Aα. It has been known for a long time that in some special situations (such as on bounded symmetric do...
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متن کاملOperators on weighted Bergman spaces
Let ρ : (0, 1] → R+ be a weight function and let X be a complex Banach space. We denote by A1,ρ(D) the space of analytic functions in the disc D such that ∫ D |f(z)|ρ(1 − |z|)dA(z) < ∞ and by Blochρ(X) the space of analytic functions in the disc D with values in X such that sup|z|<1 1−|z| ρ(1−|z|)‖F ′(z)‖ < ∞. We prove that, under certain assumptions on the weight, the space of bounded operator...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2014
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-014-9513-2