Inner Functions in Lipschitz, Besov, and Sobolev Spaces

Daniel Girela, Cristóbal González and Miroljub Jevtić

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We study the membership of inner functions in Besov, Lipschitz, and Hardy‐Sobolev spaces, finding conditions that enable an inner function to be in one of these spaces. Several results in this direction are given that complement or extend previous works on the subject from different authors. In particular, we prove that the only inner functions in either any of the Hardy‐Sobolev spaces Hαp with 1/p ≤ α

Date: 2011
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https://doi.org/10.1155/2011/626254

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:626254

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