Emil Airta

activity

20192021

most citedModern singular integral theory with mild kernel regularity

3 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

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.CA2019

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

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…