Given $\alpha$, $0 < \alpha < n$, and $b$ in $BMO$, we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b, I_\alpha ]$, to satisfy weighted endpoint inequalities on $R^n$ and on bounded domains. These results extend our earlier work, where we considered unweighted inequalities on $R^n$.
Weighted endpoint estimates for commutators of fractional integrals / D., CRUZ URIBE; Fiorenza, Alberto. - In: CZECHOSLOVAK MATHEMATICAL JOURNAL. - ISSN 0011-4642. - STAMPA. - 57:1(2007), pp. 153-160. [10.1007/s10587-007-0051-y]
Weighted endpoint estimates for commutators of fractional integrals
FIORENZA, ALBERTO
2007
Abstract
Given $\alpha$, $0 < \alpha < n$, and $b$ in $BMO$, we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b, I_\alpha ]$, to satisfy weighted endpoint inequalities on $R^n$ and on bounded domains. These results extend our earlier work, where we considered unweighted inequalities on $R^n$.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
