INVESTIGADORES
PRADOLINI Gladis Guadalupe
artículos
Título:
Characterization of Lipschitz functions via commutators of singular integrals and fractional integral operators in variable Lebesgue spaces
Autor/es:
GLADIS PRADOLINI; WILFREDO RAMOS
Revista:
POTENTIAL ANALYSIS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2017 vol. 46 p. 499 - 525
ISSN:
0926-2601
Resumen:
We obtain characterizations of a variable version of Lipschitz spaces in terms of the boundedness of commutators of Calderón-Zygmund and fractional type operators in the context of the variable exponent Lebesgue spaces Lp(⋅), where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a pointwise estimate involving the sharp maximal operator of the commutator and certain associated maximal operators, which is new even in the classical context. Some boundedness properties of the commutators between Lebesgue and Lipschitz spaces in the variable context are also proved.
