Geodesic
Some Problems for Sobolev Spaces on the Half-line
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 161-169

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This paper is a survey of the results obtained by the author in 1996–2004 and connected with extrapolation, extension, sharp constants in Kolmogorov-type inequalities, and related questions. For the most important theorems, the key steps in the proofs are presented, which may be of independent interest. 
@article{TM_2006_255_a11,
     author = {G. A. Kalyabin},
     title = {Some {Problems} for {Sobolev} {Spaces} on the {Half-line}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {161--169},
     publisher = {mathdoc},
     volume = {255},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_255_a11/}
}
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G. A. Kalyabin. Some Problems for Sobolev Spaces on the Half-line. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 161-169. http://geodesic.mathdoc.fr/item/TM_2006_255_a11/