52 citations · 367 across the 81 of their papers we have counts for
4 papers · 2 filters
Characterising the big pieces of Lipschitz graphs property using projections
Henri Martikainen, Tuomas Orponen
We characterise the big pieces of Lipschitz graphs property in terms of projections. Roughly speaking, we prove that if a large subset of an -Ahlfors-David regular set $E \subse…
A discretised projection theorem in the plane
Tuomas Orponen
The main result of this paper is that for any , there is a number with the following property. Let be small, assume t…
Some obstacles in characterising the boundedness of bi-parameter singular integrals
Henri Martikainen, Tuomas Orponen
The famous theorem for classical Calderón-Zygmund operators is a characterisation for their boundedness in . In the bi-parameter case, on the other hand, the current $T…
On Ahlfors-David regular weighted bounds for the extension operator associated to the circle
Tuomas Orponen
This paper addresses the sharpness of a weighted -estimate for the Fourier extension operator associated to the circle, obtained by J. Bennett, A. Carbery, F. Soria and A. V…