Free interpolation in Hölder classes in quasiconformal domains. / Kotochigov, A. M.; Shirokov, N. A.
In: Journal of Mathematical Sciences , Vol. 92, No. 6, 1998, p. 4324-4337.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Free interpolation in Hölder classes in quasiconformal domains
AU - Kotochigov, A. M.
AU - Shirokov, N. A.
PY - 1998
Y1 - 1998
N2 - The free interpolation problem for Hölder classes on a simply connected bounded domain whose boundary is a quasiconformal curve is studied. The necessary and sufficient conditions on a closed set E ⊂ Ḡ under which the whole Hölder space on E is generated by the restrictions of analytic functions of the Hölder class to the domain G are discussed.
AB - The free interpolation problem for Hölder classes on a simply connected bounded domain whose boundary is a quasiconformal curve is studied. The necessary and sufficient conditions on a closed set E ⊂ Ḡ under which the whole Hölder space on E is generated by the restrictions of analytic functions of the Hölder class to the domain G are discussed.
UR - http://www.scopus.com/inward/record.url?scp=54749156713&partnerID=8YFLogxK
U2 - 10.1007/BF02433439
DO - 10.1007/BF02433439
M3 - Article
AN - SCOPUS:54749156713
VL - 92
SP - 4324
EP - 4337
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 86661203