Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space

R. V. Bessonov

doi:10.1016/j.jat.2013.05.004

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arXiv · 1301.7209

Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space

R. V. Bessonov

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Abstract

We generalize a classical result by A.Macintyre and W.Rogosinski on best $H^p$--approximation in $L^p$ of rational functions. For each inner function $\theta$ we give a description of $H^p$--badly approximable functions in $\bar \theta H^p$.

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R. V. Bessonov. 2013-01-30. Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space. https://doi.org/10.1016/j.jat.2013.05.004

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