IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Two-weighted inequalities for the Fractional Integral associated to the Schrödinger operator
Autor/es:
SALINAS OSCAR; HARTZSTEIN SILVIA; CRESCIMBENI RAQUEL
Revista:
MATHEMATICAL INEQUALITIES & APPLICATIONS
Editorial:
ELEMENT
Referencias:
Lugar: Zagreb; Año: 2020 vol. 23 p. 1227 - 1259
ISSN:
1331-4343
Resumen:
In this article we prove that the fractional integral operator associated to the Schrodinger secondorder dierential operator L􀀀=2 = (􀀀 + V )􀀀=2 maps with continuity weak Lebesgue space Lp;1(v)into weighted Campanato-Holder type spaces BMOL(w), thus improving regularity under appropriateconditions on the pair of weights (v;w) and the parameters p, and . We also prove the continuousmapping from BMOL(v) to BMOL(w) for adequate pair of weights. Our results improve those knownfor the same weight in both sides of the inequality and they also enlarge the families of weights knownfor the classical fractional integral associated to the Laplacian operator L = 􀀀