Add to ORKGLet f ∈ C2 (R) satisfy f(0) = f 0 (0) = 0 and f 00(0) > 0. Then the 1-dimensional Hausdorff measure restricted to the graph of f is locally monotone near the origin in the sense that there exists σ > 0 such that the function r 7→ µf B(z,r) r is nondecreasing on (0, σ) for every centre z ∈ B(σ). The result is reformulated for Hausdorff measures restricted to uniformly C2 -curves in R 2 with the curvature bounded away from zero and infinity
AbstractThe fundamental theorems of calculus are extended to the treatment of Hausdorff measures on ...
summary:We show that for every $\varepsilon > 0$, there is a set $A\subset \mathbb R^2$ such that $\...
Abstr•.ct. P•ecently J. Nikiel showed that if a continuum X is home-oreorphic to the inverse limit o...
Let f ∈ C2 (R) satisfy f(0) = f 0 (0) = 0 and f 00(0) > 0. Then the 1-dimensional Hausdorff measure ...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
AbstractWe consider the disintegration of the Lebesgue measure on the graph of a convex function f:R...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn \u21...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn → R ...
ABSTRACT. A set E ⊆ Rn is s-straight for s> 0 if E has finite Method II outer s-measure equal to ...
In many works on Hausdorff Measure Theory it has been the practice to place certain restrictions on ...
AbstractThe fundamental theorems of calculus are extended to the treatment of Hausdorff measures on ...
summary:We show that for every $\varepsilon > 0$, there is a set $A\subset \mathbb R^2$ such that $\...
Abstr•.ct. P•ecently J. Nikiel showed that if a continuum X is home-oreorphic to the inverse limit o...
Let f ∈ C2 (R) satisfy f(0) = f 0 (0) = 0 and f 00(0) > 0. Then the 1-dimensional Hausdorff measure ...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
summary:We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the ...
AbstractWe consider the disintegration of the Lebesgue measure on the graph of a convex function f:R...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn \u21...
We consider the disintegration of the Lebesgue measure on the graph of a convex function f : Rn → R ...
ABSTRACT. A set E ⊆ Rn is s-straight for s> 0 if E has finite Method II outer s-measure equal to ...
In many works on Hausdorff Measure Theory it has been the practice to place certain restrictions on ...
AbstractThe fundamental theorems of calculus are extended to the treatment of Hausdorff measures on ...
summary:We show that for every $\varepsilon > 0$, there is a set $A\subset \mathbb R^2$ such that $\...
Abstr•.ct. P•ecently J. Nikiel showed that if a continuum X is home-oreorphic to the inverse limit o...