3 citations · 6 across the 3 of their papers we have counts for
13 papers
Exotic Calderón-Zygmund operators
Tuomas Hytönen, Kangwei Li, Henri Martikainen +1
We study singular integral operators with kernels that are more singular than standard Calderón-Zygmund kernels, but less singular than bi-parameter product Calderón-Zygmund kernel…
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…
Genuinely multilinear weighted estimates for singular integrals in product spaces
Kangwei Li, Henri Martikainen, Emil Vuorinen
We prove genuinely multilinear weighted estimates for singular integrals in product spaces. The estimates complete the qualitative weighted theory in this setting. Such estimates w…
Modern singular integral theory with mild kernel regularity
Emil Airta, Henri Martikainen, Emil Vuorinen
We present a framework based on modified dyadic shifts to prove multiple results of modern singular integral theory under mild kernel regularity. Using new optimized representation…
Banach-valued multilinear singular integrals with modulation invariance
Francesco Di Plinio, Kangwei Li, Henri Martikainen +1
We prove that the class of trilinear multiplier forms with singularity over a one dimensional subspace, including the bilinear Hilbert transform, admit bounded -extension to t…
Some new weighted estimates on product spaces
Emil Airta, Kangwei Li, Henri Martikainen +1
We complete our theory of weighted estimates for bilinear bi-parameter Calderón--Zygmund operators under the assumption that…