Abstract
In this paper one considers the following classes of functions, analytic in the circle
of the complex plane:
,
. One establishes that the well-known Carleson condition is necessary and sufficient for the solvability of the interpolation problems, intrinsic for the given class, on sets lying along a ray. In this connection, the class of sequences to be interpolated is described in terms of divided differences of order S. See also author's paper, Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,30, 167–169 (1972).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
V. I. Khavin, Itogi Nauki. Matematicheskii Analiz 1964, Moscow (1966).
S. A. Vinogradov, Vestn. Leningr. Gos. Univ.,7 (1965); Dokl. Akad. Nauk SSSR,160, No. 2 (1965).
A. M. Kotochigov, Zap. Nauchn. Sem. LOMI,30, 167–169 (1972).
B. I. Korenblyum, Mat. Sb.,89, No. 1 (1972).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 47, pp. 170–171, 1974.
Rights and permissions
About this article
Cite this article
Kotochigov, A.M. Interpolation by analytic functions smooth along the boundary. II. J Math Sci 9, 274–276 (1978). https://doi.org/10.1007/BF01578552
Issue Date:
DOI: https://doi.org/10.1007/BF01578552