On weighted L p -spaces of vector-valued entire analytic functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On weighted L p -spaces of vector-valued entire analytic functions

Authors:	Joaquín Motos María Jesús Planells César F. Talavera

Affiliation:	(1) Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Carmino de Vera s/n, 46022 Valencia, Spain

Abstract:	The weighted L _p-spaces of entire analytic functions are generalized to the vector-valued setting. In particular, it is shown that the dual of the space ${L_{p,rho}^K(E)}$ is isomorphic to ${L_{p',rho^{-1}}^{-K}(E')}$ when the function χ_K is an L _p,ρ (E)-Fourier multiplier. This result allows us to give some new characterizations of the so-called UMD-property and to represent several ultradistribution spaces by means of spaces of vector sequences. J. Motos is partially supported by DGI (Spain), Grant BFM 2002-04013 and Grant MTEM 2005-08350-C03-03.

Keywords:	KeywordHeading" >Keyword Beurling ultradistributions Weighted L _p-spaces of entire analytic functions Fourier multipliers UMD-property Besov H?rmander spaces
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