206 citations
- University of HelsinkiFI96 papers
- University of JyväskyläFI9 papers
- National Polytechnic SchoolEC7 papers
- University of TurkuFI7 papers
- Aalto UniversityFI5 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Helsinki Institute of PhysicsFI5 papers
- University of AmsterdamNL5 papers
- University of Eastern FinlandFI4 papers
- Hebrew University of JerusalemIL3 papers
- Institute of Mathematics and Mathematical ModelingKZ3 papers
- Universidad Autónoma de MadridES3 papers
5 papers · 1 filter
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…
Off-diagonal estimates for bilinear commutators
Tuomas Oikari
We find a minimal notion of non-degeneracy for bilinear singular integral operators and identify testing conditions on the multiplying function that characterize the $L^p\t…
Addendum to : Orthonormal bases of regular wavelets in spaces of homogeneous type
Pascal Auscher, Tuomas Hytönen
We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.
Wiman and Arima theorems for quasiregular mappings
Olli Martio, Vladimir M. Miklyukov, Matti K. Vuorinen
Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.
On quasiplanes in Euclidean spaces
Olli Martio, Vladimir M. Miklyukov, Matti Vuorinen
A variational inequality for the images of -dimensional hyperplanes under quasiconformal maps of the -dimensional Euclidean space is proved when