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MR752495 (86a:26022) 26D10 (42B25 47B38)
Harboure, Eleonor; Macías, Roberto A.; Segovia, Carlos Boundedness of fractional operators on $L\sp{p}$ spaces with different weights. Trans. Amer. Math. Soc. 285 (1984), no. 2, 629–647.
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