Geodesic
Riemann--Hilbert boundary value problems in $BMO$ classes for generalized analytic functions
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 13-20

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

The classical Riemann–Hilbert boundary value problems for generalized analytic functions are under consideration. We search the solution in $BMO$ class under assumption that the coefficient of the boundary condition belongs to the set of pointwise multipliers of $BMO$. Earlier in [2] the author constructed examples when the problem for golomorphic functions with non-negative index in the such natural setting has no solution in $BMOA$. Sufficient conditions on the coefficient are given when we have usual pattern of solvability in $BMO$ class. 
@article{VMJ_2011_13_1_a1,
     author = {S. B. Klimentov},
     title = {Riemann--Hilbert boundary value problems in $BMO$ classes for generalized analytic functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {13--20},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a1/}
}
TY  - JOUR
AU  - S. B. Klimentov
TI  - Riemann--Hilbert boundary value problems in $BMO$ classes for generalized analytic functions
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2011
SP  - 13
EP  - 20
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a1/
LA  - ru
ID  - VMJ_2011_13_1_a1
ER  - 
%0 Journal Article
%A S. B. Klimentov
%T Riemann--Hilbert boundary value problems in $BMO$ classes for generalized analytic functions
%J Vladikavkazskij matematičeskij žurnal
%D 2011
%P 13-20
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a1/
%G ru
%F VMJ_2011_13_1_a1
S. B. Klimentov. Riemann--Hilbert boundary value problems in $BMO$ classes for generalized analytic functions. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 13-20. http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a1/