1 citations · 1 across the 4 of their papers we have counts for
4 papers
On the parabolic Hausdorff dimension of orthogonal projections
Terence L. J. Harris, Pertti Mattila
For Borel sets we prove lower bounds for the parabolic Hausdorff dimension of the orthogonal projections of on generic -dimensional…
Packing sets in Euclidean space by affine transformations
Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4
For Borel subsets (the set of all rigid motions) and , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…
Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension
J. Cufí, J. J. Donaire, P. Mattila +1
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure vanishes, then the set of points where the principal value…
Convergence of Singular integrals with general measures
P. Mattila, J. Verdera
We show that L^2-bounded singular integral in metric spaces with respect to general measures and kernels converge weakly. This implies a kind of average convergence almost everywhe…