Geodesic
On a weighted Sobolev space on real line
Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 22-30

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A criterion of density of smooth functions in a weighted Sobolev space on real line is obtained. In one partial case an alternative description of the space associated with the weighted Sobolev space are given. 
@article{EMJ_2017_8_2_a1,
     author = {D. V. Prokhorov},
     title = {On a weighted {Sobolev} space on real line},
     journal = {Eurasian mathematical journal},
     pages = {22--30},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a1/}
}
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%J Eurasian mathematical journal
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D. V. Prokhorov. On a weighted Sobolev space on real line. Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 22-30. http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a1/