INVESTIGADORES
BERRA Fabio MartÍn
artículos
Título:
Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
Autor/es:
BERRA, FABIO; PRADOLINI, GLADIS; RECCHI, JORGELINA
Revista:
MATHEMATICAL INEQUALITIES & APPLICATIONS
Editorial:
ELEMENT
Referencias:
Lugar: Zagreb; Año: 2024
ISSN:
1331-4343
Resumen:
We deal with the boundedness properties of higher order commutators related to somegeneralizations of the multilinear fractional integral operator of order m, Ima , from a product ofweighted Lebesgue spaces into adequate weighted Lipschitz spaces, extending some previousestimates for the linear case. Our study includes two different types of commutators and sufficientconditions on the weights in order to guarantee the continuity properties described above.We also exhibit the optimal range of the parameters involved. The optimality is understood inthe sense that the parameters defining the corresponding spaces belong to a certain region, beingthe weights trivial outside of it. We further show examples of weights for the class which coverthe mentioned area.
