We consider some integral-geometric quantities that have recently arisen in harmonic analysis and elsewhere, derive some sharp geometric inequalities relating them, and place them in a wider context
For functions on generalised connected surfaces (of any dimensions) with boundary and mean curvature...
The new features of the main result are its sharpness and the fact that the manifold is not assumed ...
Thesis advisor: Martin BridgemanWe begin this dissertation by studying the relationship between the ...
We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces, via Rei...
Crofton’s formula of integral geometry evaluates the total motion invariant measure of the set of k-...
Fejes Tóth [5] and Schneider [9] studied approximations of smooth convex hypersurfaces in Euclidean ...
We get estimates for the integrals of powered i-th mean curvatures, 1 = i = n - 1, of compact and co...
In this work a local inequality is provided which bounds the distance of an integral varifold from a...
AbstractUsing results from integral geometry, we find inequalities involving mean curvature integral...
Abstract. Using results from integral geometry, we find inequalities involving mean curvature integr...
For any continuous map f:X→Y and y∈Y the preimage f^{-1}(y) is a subset of X and we can consider the...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
The new features of the main result are its sharpness and the fact that the manifold is not assumed ...
In this thesis we explore a multilinear duality principle of Carbery–Hänninen–Valdimarsson for mult...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
For functions on generalised connected surfaces (of any dimensions) with boundary and mean curvature...
The new features of the main result are its sharpness and the fact that the manifold is not assumed ...
Thesis advisor: Martin BridgemanWe begin this dissertation by studying the relationship between the ...
We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces, via Rei...
Crofton’s formula of integral geometry evaluates the total motion invariant measure of the set of k-...
Fejes Tóth [5] and Schneider [9] studied approximations of smooth convex hypersurfaces in Euclidean ...
We get estimates for the integrals of powered i-th mean curvatures, 1 = i = n - 1, of compact and co...
In this work a local inequality is provided which bounds the distance of an integral varifold from a...
AbstractUsing results from integral geometry, we find inequalities involving mean curvature integral...
Abstract. Using results from integral geometry, we find inequalities involving mean curvature integr...
For any continuous map f:X→Y and y∈Y the preimage f^{-1}(y) is a subset of X and we can consider the...
Let Q be a closed convex hypersurface of class C3 of the n-dimensional space of constant curvature K...
The new features of the main result are its sharpness and the fact that the manifold is not assumed ...
In this thesis we explore a multilinear duality principle of Carbery–Hänninen–Valdimarsson for mult...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
For functions on generalised connected surfaces (of any dimensions) with boundary and mean curvature...
The new features of the main result are its sharpness and the fact that the manifold is not assumed ...
Thesis advisor: Martin BridgemanWe begin this dissertation by studying the relationship between the ...