Characterization of UMD Banach Spaces by Imaginary Powers of Hermite and Laguerre Operators

被引：5

作者：

Betancor, Jorge J. ^{[1
]}

Castro, Alejandro J. ^{[1
]}

Curbelo, Jezabel ^{[2
]}

Rodriguez-Mesa, Lourdes ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Sta Cruz De Ten, Spain

[2] CSIC, Inst Ciencias Matemat CSIC UAM UCM UC3M, E-28049 Madrid, Spain

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 04期

关键词：

Laguerre operator; Laplace transform type multipliers; UMD spaces; Imaginary powers; LAPLACE TRANSFORM TYPE; FUNCTION EXPANSIONS; RIESZ TRANSFORMS; SPECTRAL MULTIPLIERS; POISSON INTEGRALS;

D O I：

10.1007/s11785-011-0203-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we characterize the Banach spaces with the UMD property by means of L (p) -boundedness properties for the imaginary powers of the Hermite and Laguerre operators. In order to do this we need to obtain pointwise representations for the Laplace transform type multipliers associated with Hermite and Laguerre operators.

引用

页码：1019 / 1048

页数：30

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