Fractional integrals on weighted hpspaces

We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. ©...

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Detalles Bibliográficos
Autores principales: Gatto 2, A.E., Gutierrez, C.E., Wheeden, R.L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. © 1985 American Mathematical Society.

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