Geodesic
An embedding theorem for functions of class $\operatorname{Lip}1$
Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 357-366 
T. N. Saburova. An embedding theorem for functions of class $\operatorname{Lip}1$. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 357-366. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a4/
@article{MZM_1975_18_3_a4,
     author = {T. N. Saburova},
     title = {An embedding theorem for functions of class $\operatorname{Lip}1$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {357--366},
     year = {1975},
     volume = {18},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a4/}
}
TY  - JOUR
AU  - T. N. Saburova
TI  - An embedding theorem for functions of class $\operatorname{Lip}1$
JO  - Matematičeskie zametki
PY  - 1975
SP  - 357
EP  - 366
VL  - 18
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a4/
LA  - ru
ID  - MZM_1975_18_3_a4
ER  - 
%0 Journal Article
%A T. N. Saburova
%T An embedding theorem for functions of class $\operatorname{Lip}1$
%J Matematičeskie zametki
%D 1975
%P 357-366
%V 18
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a4/
%G ru
%F MZM_1975_18_3_a4

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

We prove a theorem giving necessary and sufficient conditions for embedding the class $\operatorname{Lip}1$ in a class of functions which is defined in terms of the absolute convergence of series of Fourier coefficients with respect to the Faber-Schauder system, normalized in $L_2$.