Abstract
We establish a criterion for the existence of a solution of the interpolation problem f(λ n ) = b n in the class of functions f analytic in the unit disk and satisfying the relation
where γ: [1; +∞) → (0; +∞) is an increasing function such that the function lnγ(t) is convex with respect to lnt on the interval [1; +∞) and lnt = o(lnγ(t)), t → ∞.
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Vynnyts'kyi, B.V., Sheparovych, I.B. On Interpolation Sequences of One Class of Functions Analytic in the Unit Disk. Ukrainian Mathematical Journal 53, 1043–1053 (2001). https://doi.org/10.1023/A:1013316929504
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DOI: https://doi.org/10.1023/A:1013316929504