QUASI-ISOMETRIC MAPPINGS AND THE P-MODULI OF PATH FAMILIES
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2
Abstract
In this article, we study a connection between quasiisometric mappings of n-dimensional domains and the p-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the p-moduli of path families under K-quasi-isometric mappings.
Authors and Affiliations
A. P. Kopylov
Keywords
Related Articles
- EP ID EP225108
- DOI 10.15393/j3.art.2016.3330
- Views 108
- Downloads 0
ON CHARACTERIZATIONS OF MAIN PARTS OF SOME MEROMORPHIC CLASSES OF AREA NEVANLINNA TYPE IN THE UNIT DISK
We characterize main parts of Loran expansions of certain meromorphic spaces in the unit disk defined with the help of Nevanlinna characteristic.
DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichlet series. We use this result to study distribution of sum of unitary divisors in residue classes coprime with a module. T...
О КОЛИЧЕСТВЕ ЧИСЕЛ, ПОРОЖДЕННЫХ ПРОСТЫМИ ИЗ АРИФМЕТИЧЕСКИХ ПРОГРЕССИЙ И НЕ ПРЕВОСХОДЯЩИХ ДЕЙСТВИТЕЛЬНОГО ЧИСЛА
It is given the asimptotic expansion for number positive integer that not exceed of the real number and divisible by prime number from arithmetical progression in this paper.
N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper. We take advantage o...
JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n → C^n) provided that jacobian J_f ≡ const ≠ 0. In this note we con...