TY  - JOUR
AU  - Betancor, J.J.
AU  - Castro, A.J.
AU  - Fariña, J.C.
AU  - Rodríguez-Mesa, L.
T1  - Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces
LA  - eng
PY  - 2017
SP  - 32
EP  - 75
T2  - Journal of Mathematical Analysis and Applications
SN  - 1096-0813
VL  - 447
IS  - 1
PB  - Academic Press Inc.
AB  - In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven and Portal [36], in order to define our conical square functions, we use γ-radonifying operators. We obtain new equivalent norms in the Lebesgue–Bochner spaces Lp((0,∞),B) and Lp(Rn,B), 1<p<∞, in terms of our square functions, provided that B is a UMD Banach space. Our results can be seen as Banach valued versions of known scalar results for square functions.
DO  - 10.1016/j.jmaa.2016.10.006
UR  - https://portalciencia.ull.es/documentos/5e3c3d5a29995246bbf60cb0
DP  - Dialnet - Portal de la Investigación
ER  -