SOLUTION OF SOME WEIGHT PROBLEMS FOR THE RIEMANN–LIOUVILLE AND WEYL OPERATORS

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Abstract

ABSTRACT

The necessary and sufficient conditions are found for the weight function v, which provide the boundedness and compactness of the Riemann–Liouville operator Rα from Lp to Lu. The criteria are also established for the weight function w, which guarantee the boundedness and compactness of the Weyl operator Wα from Lp to Lq.

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