Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators

Details Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators

2011-05-23

arxiv.org/abs/1105.4562v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

In this paper we characterize the Banach spaces with the UMD property by
means of Lp-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.

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