INVESTIGADORES
RAMOS Wilfredo Ariel
artículos
Título:
Musielak-Orlicz bumps and Bloom type estimates for commutators of Calderón-Zygmund and fractional integral operators on generalized Zygmund spaces via sparse operators
Autor/es:
MELCHIORI, LUCIANA; GLADIS PRADOLINI; RAMOS, WILFREDO
Revista:
ANALYSIS MATHEMATICA
Editorial:
AKADEMIAI KIADO RT
Referencias:
Lugar: Budapest; Año: 2020
ISSN:
0133-3852
Resumen:
We study continuity properties for commutators of Calderón-Zygmund and fractional integraloperators between generalized Zygmund spaces of Llog L type, in the variable exponent settingwith different weights. In order to reach this goal we use two different approaches: the first oneis related to generalized bump conditions on a pair of weights, allowing us to handle with a wideclass of symbol involved with the commutator. The other approaches give Bloom type estimatesrestricting the class of symbols. The techniques involved in both type of results are related withthe theory of sparse domination.
