# Weighted spaces of holomorphic functions on Banach spaces

D. García; M. Maestre; P. Rueda

Studia Mathematica (2000)

- Volume: 138, Issue: 1, page 1-24
- ISSN: 0039-3223

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topGarcía, D., Maestre, M., and Rueda, P.. "Weighted spaces of holomorphic functions on Banach spaces." Studia Mathematica 138.1 (2000): 1-24. <http://eudml.org/doc/216687>.

@article{García2000,

abstract = {We deal with weighted spaces $HV_0(U)$ 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.},

author = {García, D., Maestre, M., Rueda, P.},

journal = {Studia Mathematica},

keywords = {weighted spaces of holomorphic functions on Banach spaces; seminorm; reflexivity; Schauder decomposition; predual},

language = {eng},

number = {1},

pages = {1-24},

title = {Weighted spaces of holomorphic functions on Banach spaces},

url = {http://eudml.org/doc/216687},

volume = {138},

year = {2000},

}

TY - JOUR

AU - García, D.

AU - Maestre, M.

AU - Rueda, P.

TI - Weighted spaces of holomorphic functions on Banach spaces

JO - Studia Mathematica

PY - 2000

VL - 138

IS - 1

SP - 1

EP - 24

AB - We deal with weighted spaces $HV_0(U)$ 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.

LA - eng

KW - weighted spaces of holomorphic functions on Banach spaces; seminorm; reflexivity; Schauder decomposition; predual

UR - http://eudml.org/doc/216687

ER -

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