We establish the equicontinuity and normality of the families RΦ of ring Q(x)-homeomorphisms with integral-type restrictions - Φ(Q(x))dm(x) < ∞ on a domain D ⊂ Rn with n ≥ 2. The resulting conditions on Φ are not only sufficient but also necessary for the equicontinuity and normality of these families of mappings. We give some applications of these results to the Sobolev classes W1,n loc
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135677/1/jlms0504.pd
We show that an injective continuous map between planar regions which distorts vertices of equilater...
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
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...
We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mapping...
Various theorems on convergence of general space homeomorphisms are proved and, on this basis, theor...
For a given domain D � Rn, some families F of mappings f : D ! Rn, n � 2 are studied; such families...
[[abstract]]This paper consists of two parts. In the first part, from section 1 to section 12, we ar...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
We study open discrete mappings preserving integrally quasiinvariant the weighted p-module and prov...
The paper deals with the theory of space mappings. For a generalization of quasiregular mappings imp...
This master thesis investigates the moduli of families of curves and the capacities of the Gr¨otzsch...
It is shown that each homeomorphic W1;1 loc solution to the Beltrami equation @f = � @f is the so-...
The paper is devoted to the investigation of topological properties of space mappings. It is shown t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135677/1/jlms0504.pd
We show that an injective continuous map between planar regions which distorts vertices of equilater...
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
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...
We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mapping...
Various theorems on convergence of general space homeomorphisms are proved and, on this basis, theor...
For a given domain D � Rn, some families F of mappings f : D ! Rn, n � 2 are studied; such families...
[[abstract]]This paper consists of two parts. In the first part, from section 1 to section 12, we ar...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
We study open discrete mappings preserving integrally quasiinvariant the weighted p-module and prov...
The paper deals with the theory of space mappings. For a generalization of quasiregular mappings imp...
This master thesis investigates the moduli of families of curves and the capacities of the Gr¨otzsch...
It is shown that each homeomorphic W1;1 loc solution to the Beltrami equation @f = � @f is the so-...
The paper is devoted to the investigation of topological properties of space mappings. It is shown t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135677/1/jlms0504.pd
We show that an injective continuous map between planar regions which distorts vertices of equilater...
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
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