WebOct 18, 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. Download to read the full article text 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.
(PDF) Weakly Compact Composition Operators on Analytic Vector-Valued ...
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 ... WebApr 25, 2012 · In this paper we characterize the compact operators on the weighted Bergman spaces $${A^p_\\alpha(\\mathbb{B}_n)}$$ when 1 < p < ∞ and α > −1. The main result shows that an operator on $${A^p_\\alpha(\\mathbb{B}_n)}$$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of … how does the subnet work
Vectorial Hankel operators, Carleson embeddings, and notions
WebIn this paper, we study the boundedness and the compactness of the little Hankel operators h_b with operator-valued symbols b between different weighted vector-valued Bergman spaces on the open unit ball 𝔹_n in ℂ^n. More precisely, given two complex WebHankel operators on vector-valued Bergman spaces Roc Oliver Vendrell ADVERTIMENT. La consulta d’aquesta tesi queda condicionada a l’acceptació de les següents condicions d'ús: La difusió ... The integral representation for the Bloch space and the duality between A1 and the Bloch space can be found in many different papers/books ... WebHARMONIC BERGMAN SPACES 55 seen that the function reproducing the value at yfor the real Bergman space, also reproduces the value at yfor complex-valued functions of b2(B), and thus (by uniqueness) we conclude that Ry is real-valued. We write R(x;y) = Ry(x), and call this the Bergman reproducing kernel of b2(B). Because the Bergman photogenius gate city va phone