Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. Spaces associated with weighted Sobolev spaces on the real line. (English. Russian original) Zbl 1409.46028 Dokl. Math. 98, No. 1, 373-376 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 5, 486-489 (2018). Summary: A complete description of spaces associated with weighted Sobolev spaces of the first order on the real line with identical summation parameters for a function and its derivative is presented. Cited in 2 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:weighted Sobolev space PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Dokl. Math. 98, No. 1, 373--376 (2018; Zbl 1409.46028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 5, 486--489 (2018) Full Text: DOI References: [1] Nasyrova, M. G.; Ushakova, E. P., No article title, Proc. Steklov Inst. Math., 293, 228-254, (2016) · Zbl 1358.47033 [2] C. Bennett and R. Sharpley, Interpolation of Operators (Academic, Boston, MA, 1988). · Zbl 0647.46057 [3] Eveson, S. P.; Stepanov, V. D.; Ushakova, E. P., No article title, Math. Nachr., 288, 877-897, (2015) · Zbl 1345.46028 [4] Oinarov, R., No article title, J. London Math. Soc., 48, 103-116, (1993) · Zbl 0811.26008 [5] Oinarov, R., No article title, Izv. Math., 78, 836-853, (2014) · Zbl 1305.47032 [6] Prokhorov, D. V., No article title, Eurasian Math. J., 8, 22-30, (2017) [7] Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P., No article title, Dokl. Math., 93, 78-81, (2016) · Zbl 1358.46032 [8] Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P., No article title, Math. Nachr., 290, 890-912, (2017) · Zbl 1375.46029 [9] Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P., Hardy-Steklov integral operators, (2016) · Zbl 06908415 [10] Stepanov, V. D.; Ushakova, E. P., No article title, Proc. Steklov Inst. Math., 232, 290-309, (2001) [11] Stepanov, V. D.; Ushakova, E. P., No article title, Math. Inequal. Appl., 13, 449-510, (2010) 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.