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

COMPLEX ANALYSIS AND OPERATOR THEORY（2020）

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摘要

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.

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关键词

Hardy spaces,Bidisc,Hardy inequalities,Double sequences,Bi-monotonically increasing sequences

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