We study critical regularity assumptions on space-filling curves that possess certain modulus of continuity. The bounds we obtain are essentially sharp, as demonstrated by an example.peerReviewe
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
AbstractLet X be a normed space, x∈X||x||=1. Then m(x) is the infimum of the lengths of all curves i...
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well unde...
In this paper, we shall investigate several questions related to space-lling curves. We start with a...
The regularization of linear ill-posed problems is based on their conditional well-posedness when re...
The behaviour of Castelnuovo-Mumford regularity under “geometric ” trans-formations is not well unde...
Abstract. In this paper a modulus of curves is defined using pseudo-distance functions. This leads t...
A space-filling curve is a way of mapping the discrete multi-dimensional space into the one-dimensio...
A space-filling curve (SFC) is a way of mapping a multi-dimensional space into a one-dimensional spa...
Regularity problems of a plane quasiconformal mapping f where complex dilatation is close to zero ar...
We prove that the Castelnuovo-Mumford regularity of a projective C curve embedded in an n-dimensiona...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
AbstractIn this article, an algorithm for explicit computation of moduli spaces for semiquasihomogen...
Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such...
Summary. In this paper, we study the pointwise Hölder regularity of some space-filling functions. I...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
AbstractLet X be a normed space, x∈X||x||=1. Then m(x) is the infimum of the lengths of all curves i...
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well unde...
In this paper, we shall investigate several questions related to space-lling curves. We start with a...
The regularization of linear ill-posed problems is based on their conditional well-posedness when re...
The behaviour of Castelnuovo-Mumford regularity under “geometric ” trans-formations is not well unde...
Abstract. In this paper a modulus of curves is defined using pseudo-distance functions. This leads t...
A space-filling curve is a way of mapping the discrete multi-dimensional space into the one-dimensio...
A space-filling curve (SFC) is a way of mapping a multi-dimensional space into a one-dimensional spa...
Regularity problems of a plane quasiconformal mapping f where complex dilatation is close to zero ar...
We prove that the Castelnuovo-Mumford regularity of a projective C curve embedded in an n-dimensiona...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
AbstractIn this article, an algorithm for explicit computation of moduli spaces for semiquasihomogen...
Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such...
Summary. In this paper, we study the pointwise Hölder regularity of some space-filling functions. I...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
AbstractLet X be a normed space, x∈X||x||=1. Then m(x) is the infimum of the lengths of all curves i...
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well unde...
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