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arXiv · 1209.5234

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

Víctor Almeida·Jorge J. Betancor·Alejandro J. Castro
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Abstract

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 $X$.

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Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro. 2012-09-24. UMD Banach spaces and the maximal regularity for the square root of several operators. https://doi.org/10.1007/s00233-013-9498-3

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