IFIMAR 20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Uniformly convex and smooth Banach spaces and L-boundedness properties of Littlewood-Paley and area functions associated with semigroups
Autor/es:
GALLI, VANESA; FARIÑA, JUAN C.; BETANCOR, JORGE J.; MOLINA, SANDRA M.
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2020 vol. 482
ISSN:
0022-247X
Resumen:
In this paper we obtain new characterizations of the uniformly convex and smooth Banach spaces. These characterizations are established by using -boundedness properties of Littlewood-Paley functions and area integrals associated with heat semigroups and involving fractional derivatives. Our results apply for instance by considering the heat semigroups defined by Hermite and Laguerre operators that do not satisfy the Markovian property.
