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Lp-Versions of One Conformally Invariant Inequality

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Abstract

We obtain Lp-versions of theorems proved by J. L. Fernández and J. M. Rodríguez in the paper “The Exponent of Convergence of Riemann Surfaces, Bass Riemann Surfaces”, Ann. Acad. Sci. Fenn. Ser.A. I.Mathematica 15, 165–182 (1990). An important role in the proof of our results is due to the approach of V. M. Miklyukov and M. K. Vuorinen. In particular, we use the isoperimetric profile of hyperbolic domains.

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Authors and Affiliations

  1. Kazan Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    F. G. Avkhadiev, R. G. Nasibullin & I. K. Shafigullin

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  1. F. G. Avkhadiev
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  2. R. G. Nasibullin
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  3. I. K. Shafigullin
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Correspondence to F. G. Avkhadiev.

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Original Russian Text © F.G. Avkhadiev, R.G. Nasibullin, I.K. Shafigullin, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 8, pp. 88–92.

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Avkhadiev, F.G., Nasibullin, R.G. & Shafigullin, I.K. Lp-Versions of One Conformally Invariant Inequality. Russ Math. 62, 76–79 (2018). https://doi.org/10.3103/S1066369X1808011X

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  • DOI: https://doi.org/10.3103/S1066369X1808011X

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