Add to ORKGWe study mappings that satisfy the inverse Poletsky inequality in a domain of the Euclidean space. Under certain conditions on the definition and mapped domains, it is established that they have a continuous extension to the boundary in terms of prime ends if the majorant involved in the Poletsky inequality is integrable over spheres. Under some additional conditions, the extension mentioned above is discrete.Comment: arXiv admin note: substantial text overlap with arXiv:2102.07261; text overlap with arXiv:2105.09373, arXiv:2107.0717
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms...
We study mappings differentiable almost everywhere, possessing the $N$-Luzin property, the $ N^{\,-1...
For a given domain D � Rn, some families F of mappings f : D ! Rn, n � 2 are studied; such families...
It is proved that sense preserving continuous mappings f : D → Rn of a domain D in Rn, n > 2, satisf...
AbstractIf f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from...
The erroneous proof of a lemma in a previous paper of the author on extension dimension of inverse l...
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
We introduce and study a new family of extensions for the Borsuk-Ulam and topological Radon type the...
AbstractSolving a recently raised problem, we prove that if f maps continuously a compact subset X o...
AbstractLet f:X→Y be continuous where X is a topological space and Y a metric space. Given a set E⊂Y...
AbstractWe develop abstract-interpretation domain construction in terms of the inverse-limit constru...
In this paper, we prove an extension theorem for spheres of square radii in $\mathbb{F}_q^d$, which ...
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms...
We study mappings differentiable almost everywhere, possessing the $N$-Luzin property, the $ N^{\,-1...
For a given domain D � Rn, some families F of mappings f : D ! Rn, n � 2 are studied; such families...
It is proved that sense preserving continuous mappings f : D → Rn of a domain D in Rn, n > 2, satisf...
AbstractIf f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from...
The erroneous proof of a lemma in a previous paper of the author on extension dimension of inverse l...
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
We introduce and study a new family of extensions for the Borsuk-Ulam and topological Radon type the...
AbstractSolving a recently raised problem, we prove that if f maps continuously a compact subset X o...
AbstractLet f:X→Y be continuous where X is a topological space and Y a metric space. Given a set E⊂Y...
AbstractWe develop abstract-interpretation domain construction in terms of the inverse-limit constru...
In this paper, we prove an extension theorem for spheres of square radii in $\mathbb{F}_q^d$, which ...
A family of all discrete open ring Q {mappings f:D!Rn at the point x02D with Q2 FMO(x0)is equicontin...
For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in th...
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms...