Free multiple interpolation

Author： Kotochigov A.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.194, Iss.6, 2013-11, pp. : 656-666

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Abstract

Our aim in this paper is to construct a bounded linear operator that solves the problem of multiple interpolation (interpolation with derivatives). It is proved that such an operator exists for nontangential and sparse interpolation sets if we consider interpolation by analytic functions satisfying the following condition: |f (m)(z 1) − f (m)(z 2)| ≤ ω (|z 1 − z 2|). Bibliography: 8 titles.

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