Weighted endpoint estimates for commutators of fractional integrals |
| |
| Authors: | D Cruz-Uribe A Fiorenza |
| |
| Institution: | (1) Dept. of Mathematics, Trinity College, Hartford, CT 06106-3100, USA;(2) Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università di Napoli, Via Monteoliveto, 3, I-80134 Napoli, Italy;(3) Istituto per le Applicazioni del Calcolo “Mauro Picone”—sezione di Napoli, Consiglio Nazionale delle Ricerche, via Pietro Castellino, 111, I-80131 Napoli, Italy |
| |
| Abstract: | Given α, 0 < α < n, and b ∈ BMO, we give sufficient conditions on weights for the commutator of the fractional integral operator, b, I
α
], to satisfy weighted endpoint inequalities on ℝn and on bounded domains. These results extend our earlier work 3], where we considered unweighted inequalities on ℝn. |
| |
| Keywords: | fractional integrals commutators BMO weights Orlicz spaces maximal functions |
| 本文献已被 SpringerLink 等数据库收录！ |
|
