11 citations · 15 across the 4 of their papers we have counts for
4 papers
Multiresolution analysis and Zygmund dilations
Tuomas Hytönen, Kangwei Li, Henri Martikainen +1
Zygmund dilations are a group of dilations lying in between the standard product theory and the one-parameter setting - in $\mathbb{R}^3 = \mathbb{R} \times \mathbb{R} \times \math…
Sparse bounds for maximal rough singular integrals via the Fourier transform
Francesco Di Plinio, Tuomas P. Hytönen, Kangwei Li
We prove that the class of convolution-type kernels satisfying suitable decay conditions of the Fourier transform, appearing in the works of Christ, Christ-Rubio de Francia, and Du…
The endpoint estimate for maximal singular integral operators
Tuomas Hytönen, Carlos Pérez
We prove in this paper the following estimate for the maximal operator associated to the singular integral operator : $ \|T^*f\|_{L^{1,\infty}(w)} \lesssim \frac{1}ε \int_…
Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
Tuomas Hytönen, Olli Tapiola
In any quasi-metric space of homogeneous type, Auscher and Hytönen recently gave a construction of orthonormal wavelets with Hölder-continuity exponent . However, even in a me…