26 citations · 133 across the 34 of their papers we have counts for
46 papers
Flag multiresolutions: T1, paraproducts and commutators
Ben Foster, Kangwei Li, Henri Martikainen
We develop a rich theory of dyadic-probabilistic multiresolution methods in the context of flag type singular integrals. We apply these methods to prove a full theorem, even a…
The Zygmund conjecture and Rey's exponential integrability conjecture
Henri Martikainen
We prove the Zygmund conjecture in all parameters: the maximal operator associated with products of cubes with side lengths , where …
A characterization of two-depth Journé packing for bi-parameter and Zygmund rectangles
Henri Martikainen
We completely characterize a two-depth version of Journé's covering lemma in the bi-parameter setting. Let be an incomparable family of bi-parameter dyadic rectangles…
On entangled and multi-parameter commutators
Kangwei Li, Henri Martikainen
We complement the recent theory of general singular integrals invariant under the Zygmund dilations by proving necessary and suf…
On the compactness of the bi-commutator
Henri Martikainen, Tuomas Oikari
We prove compactness results and characterizations for the bi-commutator of a symbol and two non-degenerate Calderón-Zygmund singular integral operators $T_1,…
Curved commutators in the plane
Kangwei Li, Henri Martikainen, Tuomas Oikari
We complete the boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers…