3 papers
math.CA2026
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…
math.CA2024
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…
math.CA2024
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…