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 |
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Pages (from-to) | 1397-1430 |
Number of pages | 34 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 193 |
Issue number | 5 |
DOIs | |
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