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arXiv · 1802.06433

Interpolating by functions from model subspaces in $H^1$

Konstantin M. Dyakonov
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Abstract

Given an interpolating Blaschke product $B$ with zeros $\{a_j\}$, we seek to characterize the sequences of values $\{w_j\}$ for which the interpolation problem $$f(a_j)=w_j\qquad (j=1,2,\dots)$$ can be solved with a function $f$ from the model subspace $H^1\cap B\overline{H^1_0}$ of the Hardy space $H^1$.

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BibTeXRIS

Konstantin M. Dyakonov. 2018-02-18. Interpolating by functions from model subspaces in $H^1$. https://doi.org/10.1007/s00020-018-2451-9

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