On summability with respect to an arbitrary measure of functions from Sobolev–Slobodetsky spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 192-202
V. G. Maz'ya. On summability with respect to an arbitrary measure of functions from Sobolev–Slobodetsky spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 192-202. http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a10/
@article{ZNSL_1979_92_a10,
     author = {V. G. Maz'ya},
     title = {On summability with respect to an arbitrary measure of functions from {Sobolev{\textendash}Slobodetsky} spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {192--202},
     year = {1979},
     volume = {92},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a10/}
}
TY  - JOUR
AU  - V. G. Maz'ya
TI  - On summability with respect to an arbitrary measure of functions from Sobolev–Slobodetsky spaces
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1979
SP  - 192
EP  - 202
VL  - 92
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a10/
LA  - ru
ID  - ZNSL_1979_92_a10
ER  - 
%0 Journal Article
%A V. G. Maz'ya
%T On summability with respect to an arbitrary measure of functions from Sobolev–Slobodetsky spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 192-202
%V 92
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a10/
%G ru
%F ZNSL_1979_92_a10

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Necesary and sufficient conditions for boundedness of emdedding operators: $L_p^\ell\to L_q(\mu,\mathbb R^n)$ and $W_p^\ell\to L_q(\mu,\mathbb R^n)$ ($q>p>1$ or $q\ge p=1$) are found.