Prokhorov, D. V. Weighted estimates for the Riemann-Liouville operators with variable limits. (Russian, English) Zbl 1046.47046 Sib. Mat. Zh. 44, No. 6, 1337-1349 (2003); translation in Sib. Math. J. 44, No. 6, 1049-1060 (2003). The author gives criteria for boundedness of the fractional integration operators of the Riemann-Liouville type with variable limits between Lebesgue spaces on the real axis. Reviewer: Vladimir N. Grebenev (Novosibirsk) Cited in 1 Document MSC: 47G10 Integral operators 47B38 Linear operators on function spaces (general) 45P05 Integral operators Keywords:Riemann-Liouville operator; boundedness of a class of integral operators; weighted estimate; Hölder inequality PDFBibTeX XMLCite \textit{D. V. Prokhorov}, Sib. Mat. Zh. 44, No. 6, 1337--1349 (2003; Zbl 1046.47046); translation in Sib. Math. J. 44, No. 6, 1049--1060 (2003) Full Text: EuDML EMIS