Geodesic
A~formula and estimates for the solutions of the tangential Cauchy--Riemann equation
Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 49-71

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

In this paper an explicit integral formula is derived for solutions of the homogeneous tangential Cauchy–Riemann equation on the boundary of a strongly pseudoconvex domain in $\mathbf C^n$, and best possible estimates are obtained. Using this formula, some questions on the approximation of holomorphic functions on the boundary of a strongly pseudoconvex domain are studied. Bibliography: 27 titles. 
@article{SM_1976_28_1_a3,
     author = {A. V. Romanov},
     title = {A~formula and estimates for the solutions of the tangential {Cauchy--Riemann} equation},
     journal = {Sbornik. Mathematics},
     pages = {49--71},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_28_1_a3/}
}
TY  - JOUR
AU  - A. V. Romanov
TI  - A~formula and estimates for the solutions of the tangential Cauchy--Riemann equation
JO  - Sbornik. Mathematics
PY  - 1976
SP  - 49
EP  - 71
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1976_28_1_a3/
LA  - en
ID  - SM_1976_28_1_a3
ER  - 
%0 Journal Article
%A A. V. Romanov
%T A~formula and estimates for the solutions of the tangential Cauchy--Riemann equation
%J Sbornik. Mathematics
%D 1976
%P 49-71
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1976_28_1_a3/
%G en
%F SM_1976_28_1_a3
A. V. Romanov. A~formula and estimates for the solutions of the tangential Cauchy--Riemann equation. Sbornik. Mathematics, Tome 28 (1976) no. 1, pp. 49-71. http://geodesic.mathdoc.fr/item/SM_1976_28_1_a3/