Emil Airta

activity

20192023

most citedOff-diagonal estimates for bi-commutators

8 citations · 21 across the 6 of their papers we have counts for

collaborators

6 papers

math.CA2023

Zygmund dilations: bilinear analysis and commutator estimates

Emil Airta, Kangwei Li, Henri Martikainen

We develop both bilinear theory and commutator estimates in the context of entangled dilations, specifically Zygmund dilations $(x_1, x_2, x_3) \mapsto (δ_1 x_1, δ_2 x_2, δ_1 δ_2 x…

math.CA2021

Two-weight inequalities for multilinear commutators in product spaces

Emil Airta, Kangwei Li, Henri Martikainen

This note is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolati…

math.CA2020★ 3 cited

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…

math.CA2020★ 8 cited

Off-diagonal estimates for bi-commutators

Emil Airta, Tuomas Hytönen, Kangwei Li +2

We study the bi-commutators $[T_{1}, [b, T_{2}]]$ of pointwise multiplication and Calderón-Zygmund operators, and characterize their $L^{p_{1}} L^{p_{2}} \to L^{q_{1}} L^{q_{2}}$ boundedness for…

math.CA2019★ 3 cited

Some new weighted estimates on product spaces

Emil Airta, Kangwei Li, Henri Martikainen +1

We complete our theory of weighted $L^{p} (w_{1}) \times L^{q} (w_{2}) \to L^{r} (w_{1}^{r / p} w_{2}^{r / q})$ estimates for bilinear bi-parameter Calderón--Zygmund operators under the assumption that…

math.CA2019★ 7 cited

Two-weight commutator estimates: general multi-parameter framework

Emil Airta

We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarify existing literature, which o…