Weighted norm inequalities for operators of Hardy type
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- by Steven Bloom and Ron Kerman PDF
- Proc. Amer. Math. Soc. 113 (1991), 135-141 Request permission
Abstract:
A new proof, yielding new conditions, is given for the two-weighted norm Hardy inequality. The theorem is extended to operators with kernels behaving much like the Riemann-Liouville fractional integrals of nonnegative order.References
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G. Hardy, J. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press, 1967.
F. Martin-Reyes and E. Sawyer, Weighted norm inequalities for the Riemann-Liouville fractional integral operators, preprint.
- V. D. Stepanov, Two-weight estimates for Riemann-Liouville integrals, Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 3, 645–656 (Russian); English transl., Math. USSR-Izv. 36 (1991), no. 3, 669–681. MR 1072699, DOI 10.1070/IM1991v036n03ABEH002039
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 135-141
- MSC: Primary 26D15; Secondary 26A33
- DOI: https://doi.org/10.1090/S0002-9939-1991-1059623-6
- MathSciNet review: 1059623