Stepanov, V. D.; Shambilova, G. E. Bilinear weighted inequalities with Volterra integral operators. (English. Russian original) Zbl 07125253 Dokl. Math. 99, No. 3, 290-294 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 416-420 (2019). Summary: Necessary and sufficient conditions for the boundedness of a class of bilinear inequalities with Volterra integral operators in weighted Lebesgue spaces on the real half-line are given. Cited in 4 Documents MSC: 47-XX Operator theory PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 99, No. 3, 290--294 (2019; Zbl 07125253); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 416--420 (2019) Full Text: DOI References: [1] Oinarov, R., No article title, Proc. Steklov Inst. Math., 204, 205-214 (1994) [2] D. V. Prokhorov, V. D. Stepanov, and E. P. Ushakova, “Hardy-Steklov integral operators,” Modern Problems in Mathematics (Mat. Inst. Ross. Akad. Nauk, Moscow, 2016), Vol. 22, pp. 3-185 [in Russian]. [3] Cañestro, M. I. A.; Salvador, P. O.; Torreblanca, C. R., No article title, J. Math. Anal. Appl., 387, 320-334 (2012) · Zbl 1244.26033 [4] Cwikel, M.; Kerman, R., No article title, J. Funct. Anal., 106, 130-144 (1992) · Zbl 0786.47028 [5] Grafakos, L.; Torres, R. H., No article title, J. Funct. Anal., 187, 1-24 (2001) · Zbl 0994.47028 [6] Křepela, M., No article title, Proc. Edinburgh Math. Soc., 60, 955-971 (2017) · Zbl 1377.26019 [7] Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P., No article title, Math. Notes, 104, 823-832 (2018) · Zbl 07037802 [8] Prokhorov, D. V., No article title, Proc. Steklov Inst. Math., 293, 272-287 (2016) · Zbl 1365.26021 [9] Křepela, M., No article title, Publ. Mat., 61, 3-50 (2017) · Zbl 1359.26020 [10] Stepanov, V. D.; Shambilova, G. E., No article title, Dokl. Math., 96, 631-635 (2017) · Zbl 1390.26046 [11] Stepanov, V. D.; Shambilova, G. E., No article title, Sib. Math. J., 59, 505-522 (2018) · Zbl 1473.26033 [12] Stepanov, V. D.; Shambilova, G. E., No article title, Dokl. Math., 94, 697-702 (2016) · Zbl 1489.47071 [13] Stepanov, V. D.; Shambilova, G. E., No article title, Dokl. Math., 96, 315-320 (2017) · Zbl 1495.45009 [14] Stepanov, V. D.; Shambilova, G. E., No article title, Sib. Math. J., 57, 884-904 (2016) · Zbl 1360.45012 [15] V. D. Stepanov and G. E. Shambilova, Eurasian Math. J. 8 (2), 47-73 (2017). 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.