Duality of vector-valued bergman spaces

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August undefined, 2024

WebABSTRACT. Conditions sufficient for boundedness of the Bergman projection on certain "mixed-norm" spaces of functions on the unit ball of CN are given, and this is used to identify the dual space of such mixed-norm spaces. Several representation theorems that follow from the duality are also given. 1. Introduction. WebMar 27, 2024 · Hankel operators on vector-valued Bergman spaces with exponential weights. Let be a separable Hilbert space and let be the -valued Bergman spaces with …

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WebDec 1, 2009 · A direction of research was that to study vector valued analytic func- tion, but considered from a Banach point of view. In this way appeared a series of papers e.g. by … WebAbstract. We study the duals of the spaces of harmonic functions in the unit ball of R with values in a Banach space X, belonging to the Bochner space with weight , denoted by . … by doing so 例文

Bergman and Bloch spaces of vector-valued functions - UV

WebNov 20, 2024 · Let be a complex Banach space and let denote the vector-valued Bergman space on the unit disc for 1. A sequence of bounded operators between two Banach … WebLet X be a Banach space. It is proved that the composition operator on X valued Hardy spaces, weighted Bergman spaces and Bloch spaces is weakly compact or Rosenthal if and only if both id: X → X and the corresponding composition operator on scalar valued spaces are weakly compact or Rosenthal, respectively. WebWe shall analyze for diﬀerent values of p and under certain geometric properties the spaces (B p(D,X), 1(Y)). The reader is referred to [6] and [14] for many other multiplier … cf tt

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WebDuality on vector-valued weighted harmonic Bergman spaces. Autorzy. Salvador Pérez-Esteva. ... The duals of harmonic Bergman spaces, Proc. Amer. Math. Soc. 110 (1990), … WebSep 28, 2024 · Abstract. We prove that the weighted Bergman projection P_\gamma is a bounded operator on the weighted Lebesgue space L^p (\Omega , r (x)^\lambda \mathrm { {d}}m (x)) for a certain range of parameters p, \gamma and \lambda . Here \Omega is a bounded domain in \mathbb R^n with smooth boundary. This result is used to prove … by doing the followingWebArregui, Blasco, Vector-valued Bergman and Bloch spaces 1 In this paper we shall study questions such as the boundedness of Bergman pro-jection, the duality or the atomic decomposition in the vector-valued setting. The relationship between vector-valued analytic functions, vector measures and operators is also considered. by doing so you will heap burning coals

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Duality of vector-valued bergman spaces

Multipliers on Vector Valued Bergman Spaces

WebJul 2, 2024 · In this paper, two related types of dualities are investigated. The first is the duality between left-invertible operators and the second is the duality between Banach spaces of vector-valued analytic functions. We will examine a pair ($\\mathcal{B},Ψ)$ consisting of a reflexive Banach spaces $\\mathcal{B}$ of vector-valued analytic … WebSep 7, 2024 · The paper presents a general duality theory for vector measure spaces taking its origin in the author's papers written in the 1960s. The main result establishes a …

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WebDec 1, 2024 · We define the weighted p -th Bergman space (so-called large Bergman space) by A φ p = L φ p ∩ H ( D). It is easy to check that A φ p is a Banach space under ‖ ⋅ ‖ p, φ, if 1 ≤ p < ∞, and A φ p is a complete metrizable topological vector space with the metric ϱ ( f, g) = ‖ f − g ‖ p, φ p whenever 0 < p < 1. WebJan 1, 2014 · We prove a general atomic decomposition theorem for weighted vector-valued Bergman spaces, which applies to duality problems and to the study of compact Toeplitz type operators. View Show abstract

http://library.msri.org/books/Book33/files/stroet.pdf WebMay 18, 2024 · In , Oscar Blasco obtained the duality theorem for the vector-valued Bergman spaces in the unit disc $\mathbb {B}_{1}$ without any restriction on the …

WebFeb 15, 2024 · For now let’s just say that the dimension of a vector space is given by the number of basis vectors required to span that space. In this lesson we want to talk about … WebS. Pérez-Esteva, Duality on vector-valued weighted harmonic Bergman spaces, Studia Math. 118 (1996) 37–47. Crossref, ISI, Google Scholar; 33. G. Ren, Harmonic Bergman …

WebAbstract Let $X$ be a complex Banach space and let ${{B}_{p}}\\left( X \\right)$ denote the vector-valued Bergman space on the unit disc for $1\\,\\le \\,p ...

WebThe standard weighted vector-valued Bergman spaces A2 ... As an application, they discussed the Bergman projection and duality. Hu and Virtanen [7, 8] recently considered the boundedness, compactness, and Schatten p-class for single Hankel operators Hf on … bydoing是什么意思WebThe Dual Space, Duality 8.1 The Dual Space E⇤ and Linear Forms In Section 1.7 we deﬁned linear forms, the dual space E⇤ =Hom(E,K)ofavectorspaceE,andshowedthe existence of dual bases for vector spaces of ﬁnite dimen-sion. In this chapter, we take a deeper look at the connection between a spaceE and its dual space E⇤. cf tt33http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv118i1p37bwm cft tarapacáWebDec 1, 2007 · We prove a general atomic decomposition theorem for weighted vector-valued Bergman spaces, which applies to duality problems and to the study of compact Toeplitz type operators. by doing the course workWebMar 21, 2024 · The paper presents a general duality theory for vector measure spaces taking its origin in author’s papers written in the 1960s. The main result establishes a … cft technologies llcWebDuality on vector-valued weighted harmonic Bergman spaces @article{PrezEsteva1996DualityOV, title={Duality on vector-valued weighted … cft teachersWebMay 15, 2010 · Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones. C. Nana, B. Sehba. Mathematics. 2014. We prove … by doing what you love you inspire