RUS  ENG
Full version
JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2014 Volume 14, Number 2, Pages 257–269 (Mi dvmg291)

This article is cited in 2 papers

On ring $Q$-mappings with respect to non-conformal modulus

R. R. Salimov

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk

Abstract: The paper is devoted to the development of the theory of open discrete ring $Q$-mappings with respect to $p$-modulus in ${\Bbb R}^n$, $n\geqslant2$. For such mappings, it is established a distance distortion estimate of the logarithmic type. It is also established a measure estimate for the ball image. Finally, it is investigated the asymptotic behavior for homeomorphic mappings.

Key words: $p$-modulus, $p$-capacity, $Q$-mappings, Q-homeomorphisms.

UDC: 517.5

MSC: Primary 30A10; Secondary 30C10

Received: 20.03.2014



© Steklov Math. Inst. of RAS, 2026