Geodesic
Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces
Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 346-351

Voir la notice de l'article provenant de la source Math-Net.Ru

For functions defined in a cylindrical domain, oscillation conditions with respect to a distinguished variable are established and estimates for the rate of stabilization to zero are derived. The oscillation conditions are expressed in terms of special Banach spaces introduced by the authors. 
@article{TRSPY_2003_243_a23,
     author = {S. V. Uspenskii and E. N. Vasil'eva},
     title = {Qualitative {Properties} of {Functions} that {Belong} to {Generalized} {Sobolev} {Spaces}},
     journal = {Informatics and Automation},
     pages = {346--351},
     publisher = {mathdoc},
     volume = {243},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a23/}
}
TY  - JOUR
AU  - S. V. Uspenskii
AU  - E. N. Vasil'eva
TI  - Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces
JO  - Informatics and Automation
PY  - 2003
SP  - 346
EP  - 351
VL  - 243
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a23/
LA  - ru
ID  - TRSPY_2003_243_a23
ER  - 
%0 Journal Article
%A S. V. Uspenskii
%A E. N. Vasil'eva
%T Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces
%J Informatics and Automation
%D 2003
%P 346-351
%V 243
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a23/
%G ru
%F TRSPY_2003_243_a23
S. V. Uspenskii; E. N. Vasil'eva. Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces. Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 346-351. http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a23/