IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Commutators of Riesz transforms related to Schrödinger operator
Autor/es:
B. BONGIOANNI, E. HARBOURE AND O. SALINAS
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2010
ISSN:
1069-5869
Resumen:
In this work we obtain boundedness on $L^p$, for $1<p<infty$, of commutators $T_bf=bTf-T(bf)$ where $T$ is any of the Riesz transforms or their conjugates associated to the Schr"odinger operator $-Delta+V$ with $V$ satisfying an appropriate reverse H"older inequality. The class where $b$ belongs is larger than the usual $BMO$. We also obtain a substitute result for $p=infty$, under a slightly stronger condition on $b$.
