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2000/2001 Criteria for the Boundedness and Compactness of Generalized One-Sided Potentials
A. Meskhi
Real Anal. Exchange 26(1): 217-236 (2000/2001).

Abstract

Necessary and sufficient conditions are found for the positive Borel measure $\nu$, which provide the boundedness (compactness) of the generalized Riemann--Liouville operator from one Lebesgue space into another Lebesgue space with measure $\nu$. The appropriate problem for the generalized Weyl operator is solved as well.

Citation

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A. Meskhi. "Criteria for the Boundedness and Compactness of Generalized One-Sided Potentials." Real Anal. Exchange 26 (1) 217 - 236, 2000/2001.

Information

Published: 2000/2001
First available in Project Euclid: 2 January 2009

zbMATH: 1018.42011
MathSciNet: MR1825505

Subjects:
Primary: 42B20 , 46E40 , 47G60

Keywords: Borel measure , boundedness and compactness , Generalized Riemann--Liouville and Weyl operators , weight

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 1 • 2000/2001
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