Weighted inequalities for integral operators on Lebesgue and BMOγ(ω) spaces
- Ferreyra, Elida Vilma
- Flores, Guillermo Javier
DOIAbstract
We characterize the power weights ω for which the fractional type operator Tα , β is bounded from Lp(ωp) into Lq(ωq) for 1 < p< n/ (n- (α+ β)) and 1 / q= 1 / p- (n- (α+ β)) / n. If n/ (n- (α+ β)) ≤ p< n/ (n- (α+ β) - 1) + we prove that Tα , β is bounded from a weighted weak Lp space into a suitable weighted BMOδ space for weights satisfying a doubling condition and a reverse Hölder condition. Also, we prove the boundedness of Tα , β from a weighted local space BMO0γ into a weighted BMOδ space, for weights satisfying a doubling condition.Fil: Ferreyra, Elida Vilma. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y ...
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