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

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• 作者：Victor Almeida (1)
  Jorge J. Betancor (1)
  Alejandro J. Castro (1)
  
• 关键词：UMD spaces ; Maximal regularity ; Hermite ; Bessel and Laguerre operators
• 刊名：Semigroup Forum
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：88
• 期：1
• 页码：21-51
• 全文大小：896 KB
• 作者单位：Victor Almeida (1)
  Jorge J. Betancor (1)
  Alejandro J. Castro (1)
  
  1. Departamento de Análisis Matemático, Universidad de La Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, s/n, 38271, La Laguna, Sta. Cruz de Tenerife, Spain
  
• ISSN：1432-2137

文摘

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(Ω,dμ;X), characterizes the UMD property for the Banach space X.