Contractive multipliers from Hardy space to weighted Hardy space

2012/09/17 by Ball, Joseph A., Bolotnikov, Vladimir · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1209.3690

Abstract

It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space H²_\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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• Moment kernels, nested defects, and Cuntz dilations
• Random Operator-Valued Kernels and Moment Dilations

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