INVESTIGADORES
PRADOLINI Gladis Guadalupe
artículos
Título:
The effect of the smothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
Autor/es:
ESTEFANÍA DALMASSO; GLADIS PRADOLINI; WILFREDO RAMOS
Revista:
Fractional Calculus & Applied Analysis
Editorial:
De Gruyter
Referencias:
Año: 2018 vol. 21 p. 628 - 653
ISSN:
1311-0454
Resumen:
We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including $L^p$-$L^q$, $L^p$-$BMO$ and $L^p$-Lipschitz estimates. The kernels of such operators satisfy certain size condition anda Lipschitz type regularity, and the symbol of the commutator belongs to a Lipschitz class.We also deal with commutators of fractional type operators with less regular kernels satisfying a H"ormander´s type inequality. As far as we know, these last results are new even in the unweighted case. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of $p$.
