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Two-weighted norm inequalities for the fractional integral operator between L^p and Lipschitz spaces

Pradolini G.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2001

[Z] 41

147-169

We characterize the pairs of weights for which the fractional integral of order y, I_y, is bounded from weighted Lebesgue spaces L^ into suitable weighted BMO and Lipschitz integral spaces with a weight w. We also study the properties of the classes of weights that arise in connection with this boundedness of I-y.