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

Li K.; Martikainen H.; Vuorinen E. (International Mathematics Research Notices, 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 $T$ ...
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Multilinear singular integrals on non-commutative lp spaces 

Di Plinio F.; Li K.; Martikainen H.; Vuorinen E. (Springer International Publishing, 2019)
We prove Lp bounds for the extensions of standard multilinear Calderón- Zygmund operators to tuples of UMD spaces tied by a natural product structure. The product can, for instance, mean the pointwise product in UMD ...

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AuthorLi K. (2)Martikainen H. (2)Vuorinen E. (2)Di Plinio F. (1)Subject
representation theorems (2)
Bloom's inequality (1)Calderón–Zygmund operators (1)iterated commutators (1)multilinear analysis (1)non- commutative spaces (1)singular integrals (1)UMD spaces. (1)... View MoreDate Issued
2019 (2)

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