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.
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Acknowledgements
The second author would like to thank A. Marcoci, L. Marcoci and N. Popa for such a kind treatment during his stay at Bucharest, where this paper started to be written. Both authors thank them for their comments and suggestions on the paper.
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Communicated by Joseph Ball.
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O. Blasco and I. García-Bayona were partially supported by MTM2014-53009-P (MINECO Spain) and I. García-Bayona was also supported by FPU14/01032 (MCIU Spain).
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Blasco, O., García-Bayona, I. On the Taylor Coefficients of Functions in the Hardy Space Over the Bidisc. Complex Anal. Oper. Theory 14, 57 (2020). https://doi.org/10.1007/s11785-020-01014-1
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DOI: https://doi.org/10.1007/s11785-020-01014-1