We prove continuity of the Riesz potential operator in optimal couples of rearrangement invariant function spaces defined in R^n with the Lebesgue measure. An application is given to the Hardy-Littlewood maximal operator.
The Riesz potential operator in optimal couples of rearrangement invariant spaces / C., Capone; Fiorenza, Alberto; G. E., Karadzhov; Waqas, Nazeer. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - 30:2(2011), pp. 219-236. [10.4171/ZAA/1432]
The Riesz potential operator in optimal couples of rearrangement invariant spaces
FIORENZA, ALBERTO;
2011
Abstract
We prove continuity of the Riesz potential operator in optimal couples of rearrangement invariant function spaces defined in R^n with the Lebesgue measure. An application is given to the Hardy-Littlewood maximal operator.File in questo prodotto:
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