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- W2963447212 abstract "Let $theta$ be an inner function satisfying the connected level set condition of B. Cohn, and let $K^{1}_{theta}$ be the shift-coinvariant subspace of the Hardy space $H^1$ generated by $theta$. We describe the dual space to $K^{1}_{theta}$ in terms of a bounded mean oscillation with respect to the Clark measure $sigma_alpha$ of $theta$. Namely, we prove that $(K^{1}_{theta} cap zH^1)^* = {rm BMO}(sigma_alpha)$. The result implies a two-sided estimate for the operator norm of a finite Hankel matrix of size $ntimes n$ via ${rm BMO}(mu_{2n})$-norm of its standard symbol, where $mu_{2n}$ is the Haar measure on the group ${xi in mathbb{C}: xi^{2n} = 1}$." @default.
- W2963447212 created "2019-07-30" @default.
- W2963447212 creator A5051032100 @default.
- W2963447212 date "2015-02-01" @default.
- W2963447212 modified "2023-10-17" @default.
- W2963447212 title "Duality theorems for coinvariant subspaces of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>" @default.
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- W2963447212 doi "https://doi.org/10.1016/j.aim.2014.11.012" @default.
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