Browsing Harmonic Analysis by Subject "iterated commutators"

Now showing items 1-2 of 2

Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators

Li, K.; Martikainen, H.; Vuorinen, E. (2019-03-14)

Utilising some recent ideas from our bilinear bi-parameter theory, we give an efficient proof of a two-weight Bloom type inequality for iterated commutators of linear bi-parameter singular integrals. We prove that if $T$ ...
Bloom type upper bounds in the product BMO setting

Li, K.; Martikainen, H.; Vuorinen, E. (2019-04-08)

We prove some Bloom type estimates in the product BMO setting. More specifically, for a bounded singular integral $T_n$ in $\mathbb R^n$ and a bounded singular integral $T_m$ in $\mathbb R^m$ we prove that $$ \| [T_n^1, ...