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 -