Now showing items 1-3 of 3

    • Multilinear operator-valued calderón-zygmund theory 

      Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (2020)
      We develop a general theory of multilinear singular integrals with operator- valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness ...
    • 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 ...
    • Sparse bounds for maximal rough singular integrals via the Fourier transform 

      Di Plinio, F.; Hytönen, T.; Li, K. (2019-03-12)
      We prove a quantified sparse bound for the maximal truncations of convolution-type singular integrals with suitable Fourier decay of the kernel. Our result extends the sparse domination principle by Conde-Alonso, Culiuc, ...