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.
Original language | English |
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Pages (from-to) | 2660-2662 |
Number of pages | 3 |
Journal | Journal of Soviet Mathematics |
Volume | 31 |
Issue number | 1 |
DOIs | |
State | Published - 1 Oct 1985 |
ID: 49880493