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On the Taylor Coefficients of Functions in the Hardy Space Over the Bidisc

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In this paper we analyze the Taylor coefficients of functions in Hardy spaces on the bidisc. We present the two-dimensional versions of some classical Hardy and Paley inequalities and we… Click to show full abstract

In this paper we analyze the Taylor coefficients of functions in Hardy spaces on the bidisc. We present the two-dimensional versions of some classical Hardy and Paley inequalities and we find certain conditions on the Taylor coefficients for the converse of these inequalities to hold.

Keywords: coefficients functions; taylor coefficients; hardy space; functions hardy; space bidisc

Journal Title: Complex Analysis and Operator Theory
Year Published: 2020

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