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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 8, Pages 88–92 (Mi ivm9391)  
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

$L_p$-versions of one conformally invariant inequality

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

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (181 kB) Citations (5)
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Abstract: We obtain $L_p$ versions of theorems proved by J. L. Fernández, J. M. Rodríguez in 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 approach of V. M. Miklyukov and M. K. Vuorinen. We use the isoperimetric profile of hyperbolic domains.
Keywords: Poincaré metric, isoperimetric inequality, uniformly perfect set, Hardy type inequality.
Funding agency Grant number
Russian Science Foundation 18-11-00115
Received: 26.04.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 8, Pages 76–79
DOI: https://doi.org/10.3103/S1066369X1808011X
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “$L_p$-versions of one conformally invariant inequality”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 88–92; Russian Math. (Iz. VUZ), 62:8 (2018), 76–79
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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