Geodesic
Qualitative Investigation of Functions in Generalized Liouville--Sobolev Function Spaces $L_p^l(E_n)$ at Infinity
Informatics and Automation, Studies on function theory and differential equations, Tome 248 (2005), pp. 285-293.

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The asymptotic properties, as $r=|x|$ tends to infinity, of functions from $L_p^l(E_n)$ with fractional indices $l=(l_1,\dots , l_n)$ are described with the use of spherical means. Conditions under which spherical means oscillate on $[1,\infty )$ and converge at infinity are obtained. 
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S. V. Uspenskii; E. N. Vasil'eva. Qualitative Investigation of Functions in Generalized Liouville--Sobolev Function Spaces $L_p^l(E_n)$ at Infinity. Informatics and Automation, Studies on function theory and differential equations, Tome 248 (2005), pp. 285-293. http://geodesic.mathdoc.fr/item/TRSPY_2005_248_a25/

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