New inequalities bound the weighted norm of the zero-free part after Blaschke decomposition, extending prior results from functions analytic in a larger disk to all Hardy-space functions with finite zeros and to some cases with infinitely many zeros.
Qian , Intrinsic Mono-component Decomposition of Functions: an a dvance of Fourier theory , Math
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Blaschke Decompositions on Weighted Hardy Spaces
New inequalities bound the weighted norm of the zero-free part after Blaschke decomposition, extending prior results from functions analytic in a larger disk to all Hardy-space functions with finite zeros and to some cases with infinitely many zeros.