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arXiv · 1209.3690

Contractive multipliers from Hardy space to weighted Hardy space

Joseph A. Ball·Vladimir Bolotnikov
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Abstract

It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.

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Joseph A. Ball, Vladimir Bolotnikov. 2012-09-17. Contractive multipliers from Hardy space to weighted Hardy space. https://arxiv.org/abs/1209.3690

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