Artículo
A generalization of the boundedness of certain integral operators in variable lebesgue spaces
Fecha de publicación:
06/2020
Editorial:
Element D.O.O.
Revista:
Journal of Mathematical Inequalities
ISSN:
1846-579X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+αm = n-α . We define In [8] we obtained the boundedness of this operator from Lp(.)(Rn) into Lq(.)(Rn) for 1/q(.) = 1/p(.) - α/n, in the case that Ai is a power of certain fixed matrix A and for exponent functions p satisfying log-Hölder conditions and p(Ay) = p(y), y ε Rn. We will show now that the hypothesis on p, in certain cases, is necessary for the boundedness of Tα and we also prove the result for more general matrices Ai.
Palabras clave:
FRACTIONAL INTEGRALS
,
VARIABLE EXPONENTS
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Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Urciuolo, Marta; Vallejos, Lucas Alejandro; A generalization of the boundedness of certain integral operators in variable lebesgue spaces; Element D.O.O.; Journal of Mathematical Inequalities; 14; 2; 6-2020; 547-557
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