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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 142, Pages 28–41 (Mi into251)
This article is cited in 3 papers

Conformally invariant inequalities

F. G. Avkhadiev

Kazan (Volga Region) Federal University

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.

UDC: 517.5; 517.956.225

MSC: 39B72; 30C20


 English version: Journal of Mathematical Sciences (New York), 2019, 241:6, 672–685

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© Steklov Math. Inst. of RAS, 2024