IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Weigthed inequalities for negative powers of Schrödinger operators
Autor/es:
B. BONGIOANNI, E. HARBOURE, O. SALINAS
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Referencias:
Año: 2008 vol. 348 p. 12 - 27
ISSN:
0022-247X
Resumen:
In this article we obtain boundedness of the operator$(-\Delta~+~V)^{-\al/2}$ from $L^{p,\infty}(w)$ into weightedbounded mean oscillation type spaces $BMO_\LL^{\be}(w)$ underappropriate conditions on the weight $w$. We also show that theseweighted spaces also have a point-wise description for $0<\be<1$.Finally, we study the behaviour of the operator$(-\Delta~+~V)^{-\al/2}$ when acting on $BMO_\LL^{\be}(w)$.
