Square functions in the Hermite setting for functions with values in UMD spaces

J. J. Betancor; A. J. Castro; J. Curbelo; J. C. Fariña; L. Rodríguez-Mesa

doi:10.1007/s10231-013-0335-9

Square functions in the Hermite setting for functions with values in UMD spaces

J. J. Betancor, A. J. Castro, J. Curbelo, J. C. Fariña, L. Rodríguez-Mesa

Department of Mathematics

Research output: Contribution to journal › Article

9 Citations (Scopus)

Abstract

In this paper, we characterize the Lebesgue Bochner spaces (Formula presented.), by using Littlewood–Paley g-functions in the Hermite setting, provided that B is a UMD Banach space. We use (Formula presented.)-radonifying operators (Formula presented.) where (Formula presented.). We also characterize the UMD Banach spaces in terms of (Formula presented.) boundedness of Hermite Littlewood–Paley g-functions.

Original language	English
Pages (from-to)	1397-1430
Number of pages	34
Journal	Annali di Matematica Pura ed Applicata
Volume	193
Issue number	5
DOIs	https://doi.org/10.1007/s10231-013-0335-9
Publication status	Published - Jan 1 2014

Keywords

(Formula presented.)-radonifying operators
Hermite operator
Littlewood–Paley g-functions
UMD Banach spaces

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s10231-013-0335-9

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AU - Betancor, J. J.

AU - Castro, A. J.

AU - Curbelo, J.

AU - Fariña, J. C.

AU - Rodríguez-Mesa, L.

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