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arXiv · 2105.11597

Polylogarithmic Hardy space & its Nevanlinna counting function

Himanshu Singh
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Abstract

We present the upper bound of the essential norm of the composition operator over the Polylogarithmic Hardy space PL2(D;s).The results involve the Nevanlinna counting function for PL2(D;s). We first prove the Littlewood-Paley Identity for PL2(D;s) which leads to the Nevanlinna counting function for PL2(D;s). With all these results, not only we get the upper bound of the essential norm of the composition operator over PL2(D;s) but also we get an upper bound in terms of the angular derivative and essential norm of composition operator over the Hardy space H2.

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Himanshu Singh. 2021-05-25. Polylogarithmic Hardy space & its Nevanlinna counting function. https://arxiv.org/abs/2105.11597

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