Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 142, Pages 28–41 (Mi into251)  
This article is cited in 2 scientific papers (total in 2 papers)

Conformally invariant inequalities

F. G. Avkhadiev

Kazan (Volga Region) Federal University
Full-text PDF (218 kB) Citations (2)
Abstract: We study conformally invariant, integral inequalities of Hardy and Rellich type in the case where the weight functions are powers of coefficients of the Poincaré metric.
Keywords: integral inequality, uniformly perfect set, Poincaré metric, conformally invariant integral.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00351а
15-41-02433
This work was supported by the Russian Foundation for Basic Fundamental Research (project № 14-01-00351а), and also with support of the Russian Foundation for Basic Research and the Government of the Republic of Tatarstan (project № 15-41-02433).
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 6, Pages 672–685
DOI: https://doi.org/10.1007/s10958-019-04454-z
Bibliographic databases:
Document Type: Article
UDC: 517.5; 517.956.225
MSC: 39B72; 30C20
Language: Russian
Citation: F. G. Avkhadiev, “Conformally invariant inequalities”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142, VINITI, M., 2017, 28–41; Journal of Mathematical Sciences, 241:6 (2019), 672–685
Citation in format AMSBIB
\Bibitem{Avk17}
\by F.~G.~Avkhadiev
\paper Conformally invariant inequalities
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 142
\pages 28--41
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801347}
\zmath{https://zbmath.org/?q=an:1429.35009}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 6
\pages 672--685
\crossref{https://doi.org/10.1007/s10958-019-04454-z}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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