Displaying similar documents to “On the isomorphic classification of weighted spaces of holomorphic functions”

On generalized Bergman spaces

Wolfgang Lusky (1996)

Studia Mathematica

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Let D be the open unit disc and μ a positive bounded measure on [0,1]. Extending results of Mateljević/Pavlović and Shields/Williams we give Banach-space descriptions of the classes of all harmonic (holomorphic) functions f: D → ℂ satisfying ʃ 0 1 ( ʃ 0 2 π | f ( r e i φ ) | p d φ ) q / p d μ ( r ) < ∞ .

Weighted spaces of holomorphic functions on Banach spaces

D. García, M. Maestre, P. Rueda (2000)

Studia Mathematica

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We deal with weighted spaces H V 0 ( U ) and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.

Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions

Wolf, Elke (2011)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 47B33, 47B38. Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D. Such maps induce a weighted composition operator followed by differentiation DCf, y acting between weighted Banach spaces of holomorphic functions. We characterize boundedness and compactness of such operators in terms of the involved weights as well as the functions f and y.

Complemented subspaces of sums and products of copies of L[0, 1].

A. A. Albanese, V. B. Moscatelli (1996)

Revista Matemática de la Universidad Complutense de Madrid

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We prove that the direct sum and the product of countably many copies of L[0, 1] are primary locally convex spaces. We also give some related results.