Artículo
Two-weighted estimates of the multilinear fractional integral operator between weighted Lebesgue and Lipschitz spaces with optimal parameters
Fecha de publicación:
07/2023
Editorial:
Unión Matemática Argentina
Revista:
Revista de la Unión Matemática Argentina
ISSN:
0041-6932
e-ISSN:
1669-9637
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Given an m-tuple of weights ~v = (v1, . . . , vm), we characterize the classes of pairs (w, ~v) involved in the boundedness properties of the multilinear fractional integral operator from Qm i=1 Lpi v pi i into suitable Lipschitz spaces associated to a parameter δ, Lw(δ). Our results generalize some previous estimates not only for the linear case but also for the unweighted problem in the multilinear context. We emphasize the study related to the range of the parameters involved in the problem described above, which is optimal in the sense that they become trivial outside of the region obtained. We also exhibit nontrivial examples of pairs of weights in this regio
Palabras clave:
LIPSCHITZ SPACES
,
MULTILINEAR FRACTIONAL OPERATOR
,
WEIGHTS
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Colecciones
Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Citación
Berra, Fabio Martín; Pradolini, Gladis Guadalupe; Ramos, Wilfredo Ariel; Two-weighted estimates of the multilinear fractional integral operator between weighted Lebesgue and Lipschitz spaces with optimal parameters; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 66; 1; 7-2023; 69-90
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