We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mappings in a sense of V¨ais¨al¨a’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy of these mappings, their inner dilatation is majorized by a function Q.x/ to within a constant depending solely on the dimension of the space
Quasiconformal (QC) mappings generalize conformal mappings. Since their introduction in the 1930s, Q...
This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consist...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mapping...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
We establish the equicontinuity and normality of the families RΦ of ring Q(x)-homeomorphisms with in...
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms...
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of th...
The paper is devoted to the investigation of topological properties of space mappings. It is shown t...
This master thesis investigates the moduli of families of curves and the capacities of the Gr¨otzsch...
[[abstract]]This paper consists of two parts. In the first part, from section 1 to section 12, we ar...
Abstract. We prove monotonicity and distortion theorems for quasireg-ular mappings defined on the un...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation i...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
Quasiconformal (QC) mappings generalize conformal mappings. Since their introduction in the 1930s, Q...
This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consist...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mapping...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
We establish the equicontinuity and normality of the families RΦ of ring Q(x)-homeomorphisms with in...
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms...
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of th...
The paper is devoted to the investigation of topological properties of space mappings. It is shown t...
This master thesis investigates the moduli of families of curves and the capacities of the Gr¨otzsch...
[[abstract]]This paper consists of two parts. In the first part, from section 1 to section 12, we ar...
Abstract. We prove monotonicity and distortion theorems for quasireg-ular mappings defined on the un...
The theory of quasiconformal mappings generalizes to higher dimensions the geometric viewpoint in co...
We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation i...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
Quasiconformal (QC) mappings generalize conformal mappings. Since their introduction in the 1930s, Q...
This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consist...
This dissertation contains three articles on regularity properties of quasiconformal mappings and ma...
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