UMD Banach spaces and the maximal regularity for the square root of several operators

被引：0

作者：

Almeida, Victor ^{[1
]}

Betancor, Jorge J. ^{[1
]}

Castro, Alejandro J. ^{[1
]}

机构：

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

来源：

SEMIGROUP FORUM | 2014年 / 88卷 / 01期

关键词：

UMD spaces; Maximal regularity; Hermite; Bessel and Laguerre operators; FOURIER MULTIPLIER THEOREMS; HERMITE FUNCTION EXPANSIONS; RIESZ TRANSFORMS; POISSON INTEGRALS; LAGUERRE;

D O I：

10.1007/s00233-013-9498-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that the maximal L (p) -regularity property on the interval (0,T), T > 0, for Cauchy problems associated with the square root of Hermite, Bessel or Laguerre type operators on L (2)(Omega,d mu;X), characterizes the UMD property for the Banach space X.

引用

页码：21 / 51

页数：31

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