Now showing items 1-3 of 3

    • Bilinear representation theorem 

      Li, K.; Martikainen, H.; Ou, Y.; Vuorinen, E. (2018-01-01)
      We represent a general bilinear Calderón--Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ...
    • 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 $T$ ...
    • Multilinear singular integrals on non-commutative lp spaces 

      Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (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 ...