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Hardy and Littlewood theorems and the Bergman distance

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R\'esum\'e

We obtain non-Euclidean versions of classical theorems due to Hardy and Littlewood concerning smoothness of the boundary function of an analytic mapping on the unit disk with an appropriate growth condition.

Résumé

Nous obtenons des versions non euclidiennes des théorèmes classiques dus à Hardy et Littlewood concernant la régularité de la fonction frontière d’une fonction analytique sur le disque unité avec une condition de croissance appropriée.

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Acknowledgements

I would like to thank the referee of this work for carefully reading and pointing out several errors in previous versions of the manuscript.

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  1. Faculty of Sciences and Mathematics, University of Montenegro, Džordža Vašingtona bb, 81000, Podgorica, Montenegro

    Marijan Marković

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  1. Marijan Marković
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Correspondence to Marijan Marković.

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Dedicated to the memory of Professor Miroslav Pavlović

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Marković, M. Hardy and Littlewood theorems and the Bergman distance. Ann. Math. Québec 48, 143–156 (2024). https://doi.org/10.1007/s40316-022-00205-w

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  • DOI: https://doi.org/10.1007/s40316-022-00205-w

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