INVESTIGADORES
RAMOS Wilfredo Ariel
artículos
Título:
Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights
Autor/es:
MELCHIORI, LUCIANA; PRADOLINI, GLADIS; RAMOS, WILFREDO
Revista:
MATHEMATICAL INEQUALITIES & APPLICATIONS
Editorial:
ELEMENT
Referencias:
Año: 2019 vol. 22 p. 855 - 883
ISSN:
1331-4343
Resumen:
We prove that a generalized Fefferman-Phong type condition on a pair of weights uand v is sufficient for the boundedness of the commutators of potential type operators from Lp(·)_v into Lq(·)_u. We also give an improvement of this result in the sense that we not only consider a variable version of power bump conditions, but also weaker norms related to Musielak-Orlicz functions.We consider a wider class of symbols including Lipschitz symbols and some generalizations.