×

Boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1489.47071

Dokl. Math. 94, No. 3, 697-702 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645-650 (2016).
Summary: Necessary and sufficient conditions for the weighted boundedness of a class of positive quasilinear integral two-kernel operators of iterative type on the real half-line are given.

MSC:

47G10 Integral operators
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Sawyer, E., No article title, Studia Math., 96, 145-158 (1990)
[2] Stepanov, V. D., No article title, J. London Math. Soc., 48, 465-487 (1993) · Zbl 0837.26011
[3] Goldman, M. L.; Stepanov, V. D.; Heinig, H. P., No article title, Dokl. Akad. Nauk, 344, 740-744 (1995)
[4] M. L. Goldman, H. P. Heinig, and V. D. Stepanov, Can. J. Math. 48 (5), 959-979.
[5] Sinnamon, G., No article title, Publ. Mat., 46, 489-515 (2002) · Zbl 1043.46026
[6] Popova, O. V., No article title, Sib. Math. J., 53, 152-167 (2012) · Zbl 1257.26025
[7] Burenkov, V. I.; Oinarov, R., No article title, Math. Inequal. Appl., 16, 1-19 (2013)
[8] Shambilova, G. E., No article title, Sib. Math. J., 55, 745-767 (2014) · Zbl 1318.26047
[9] Gogatishvili, A.; Stepanov, V. D., No article title, Russ. Math. Surv., 68, 597-664 (2013) · Zbl 1288.26018
[10] Prokhorov, D. V.; Stepanov, V. D., No article title, Dokl. Math., 88, 721-723 (2013) · Zbl 1310.47066
[11] Prokhorov, D. V.; Stepanov, V. D., No article title, Dokl. Math., 89, 372-377 (2014) · Zbl 1303.45008
[12] Prokhorov, D. V., No article title, Dokl. Math., 92, 602-605 (2015) · Zbl 1330.47062
[13] Prokhorov, D. V.; Stepanov, V. D., No article title, Sb. Math., 207, 1159-1186 (2016) · Zbl 1365.26022
[14] Prokhorov, D. V., No article title, Proc. Steklov Inst. Math., 293, 272-287 (2016) · Zbl 1365.26021
[15] Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D., No article title, Banach J. Math. Anal., 9, 21-34 (2015) · Zbl 1312.26046
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.