English

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

Complex Variables 2019-09-04 v1 Classical Analysis and ODEs Functional Analysis

Abstract

Given an interpolating Blaschke product BB with zeros {aj}\{a_j\}, we seek to characterize the sequences of values {wj}\{w_j\} for which the interpolation problem f(aj)=wj(j=1,2,)f(a_j)=w_j\qquad (j=1,2,\dots) can be solved with a function ff from the model subspace H1BH01H^1\cap B\overline{H^1_0} of the Hardy space H1H^1.

Keywords

Cite

@article{arxiv.1802.06433,
  title  = {Interpolating by functions from model subspaces in $H^1$},
  author = {Konstantin M. Dyakonov},
  journal= {arXiv preprint arXiv:1802.06433},
  year   = {2019}
}

Comments

7 pages; to appear in Integral Equations and Operator Theory

R2 v1 2026-06-23T00:25:50.965Z