On weighted Lp-spaces of vector-valued entire analytic functions

被引：2

作者：

Motos, Joaquin ^{[1
]}

Planells, Maria Jesus ^{[1
]}

Talavera, Cesar F. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 02期

关键词：

beurling ultradistributions; weighted L-p-spaces of entire analytic functions; Fourier multipliers; UMD-property; Besov; Hormander spaces;

D O I：

10.1007/s00209-007-0283-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 chi (K) is an L (p,rho) (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.

引用

页码：451 / 472

页数：22

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