INVESTIGADORES
PRADOLINI Gladis Guadalupe
artículos
Título:
Commutators of Singular Integrals with Kernels Satisfying Generalized Hörmander Conditions and Extrapolation Results to the Variable Exponent Spaces
Autor/es:
MELCHIORI, LUCIANA; PRADOLINI, GLADIS
Revista:
POTENTIAL ANALYSIS
Editorial:
SPRINGER
Referencias:
Año: 2019 vol. 51 p. 579 - 601
ISSN:
0926-2601
Resumen:
We obtain boundedness results for the higher order commutators of singular integral operators between weighted Lebesgue spaces, including Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain regularity condition, and the symbol of the commutator belongs to a Lipschitz class. We also deal with commutators of singular integral operators with less regular kernels satisfying a Hörmander?s type inequality. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of p. Finally, by extrapolation techniques, we derive different results in the variable exponent context.
