Standard

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 journalArticlepeer-review

Harvard

APA

Vancouver

Author

BibTeX

@article{6f36bb58b693406c8afb028af2c27b4d,
title = "Characterization of finite unions of Carleson sets in terms of solvability of interpolational problems",
abstract = "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.",
author = "Vasyunin, {V. I.}",
year = "1985",
month = oct,
day = "1",
doi = "10.1007/BF02107247",
language = "English",
volume = "31",
pages = "2660--2662",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

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