Characterization of finite unions of Carleson sets in terms of solvability of interpolational problems. / Vasyunin, V. I.
In: Journal of Soviet Mathematics, Vol. 31, No. 1, 01.10.1985, p. 2660-2662.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Characterization of finite unions of Carleson sets in terms of solvability of interpolational problems
AU - Vasyunin, V. I.
PY - 1985/10/1
Y1 - 1985/10/1
N2 - The following assertion is proved: a discrete subset λ of the unit disk can be represented as the union of n Carleson sets if and only if the traces of functions from H∞ on λ form a space of functions on λ for which the first n-1 divided differences (with respect to the hyperbolic metric) are uniformly bounded.
AB - The following assertion is proved: a discrete subset λ of the unit disk can be represented as the union of n Carleson sets if and only if the traces of functions from H∞ on λ form a space of functions on λ for which the first n-1 divided differences (with respect to the hyperbolic metric) are uniformly bounded.
UR - http://www.scopus.com/inward/record.url?scp=34250120302&partnerID=8YFLogxK
U2 - 10.1007/BF02107247
DO - 10.1007/BF02107247
M3 - Article
AN - SCOPUS:34250120302
VL - 31
SP - 2660
EP - 2662
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 1
ER -
ID: 49880493