Free interpolation in Hölder classes over Jordan domains. / Kotochigov, A. M.; Shirokov, N. A.
In: Journal of Mathematical Sciences , Vol. 80, No. 6, 1996, p. 2255-2275.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Free interpolation in Hölder classes over Jordan domains
AU - Kotochigov, A. M.
AU - Shirokov, N. A.
PY - 1996
Y1 - 1996
N2 - Free interpolation in Holder classes (with exponent < 1) is studied for domains of the complex plane under the assumption that the length of an arc on the boundary of the domain is commensurable with the length of the spanning chord. A subset of a domain on which the restriction of a Hölder class over the domain is the corresponding Hölder class over the subset is considered and its structure is shown. It is also proved that the description of interpolation sets is similar to that for a disk.
AB - Free interpolation in Holder classes (with exponent < 1) is studied for domains of the complex plane under the assumption that the length of an arc on the boundary of the domain is commensurable with the length of the spanning chord. A subset of a domain on which the restriction of a Hölder class over the domain is the corresponding Hölder class over the subset is considered and its structure is shown. It is also proved that the description of interpolation sets is similar to that for a disk.
UR - http://www.scopus.com/inward/record.url?scp=53149100687&partnerID=8YFLogxK
U2 - 10.1007/BF02362386
DO - 10.1007/BF02362386
M3 - Article
AN - SCOPUS:53149100687
VL - 80
SP - 2255
EP - 2275
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 86661779