INMABB   05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
Higher order Riesz transforms in the ultraspherical setting as principal value integral operators
Autor/es:
BETANCOR, JORGE J.; FARIÑA, JUAN C.; RODRÍGUEZ-MESA, LOURDES; TESTONI, RICARDO
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Lugar: BASEL; Año: 2011 vol. 70 p. 511 - 539
ISSN:
0378-620X
Resumen:
In this paper we represent the k-th Riesz transform in the ultraspherical setting asa principal value integral operator for every k in IN. Also, we measure the speed of convergenceof the limit by proving Lp-boundedness properties for the oscillation and variation operatorsassociated with the corresponding truncated operators.