| Autor: |
Betancor, J. J., Castro, A. J., Fariña, J. C., Rodríguez-Mesa, L. |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Math. Nachr. 289 (2016), 410-435 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1002/mana.201400261 |
| Popis: |
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schr\"odinger and Laguerre operators acting on functions which take values in UMD Banach spaces. We extend classical (scalar) L^p-boundedness properties for the square functions to our Banach valued setting by using \gamma-radonifying operators. We also prove that these L^p-boundedness properties of the square functions actually characterize the Banach spaces having the UMD property. |
| Databáze: |
arXiv |
| Externí odkaz: |
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