Noncommutative maximal operators with rough kernels

HIGHLIGHTS

• What: The aim of this paper is to develop some theory in this aspect for a class of rough operators. Step 2: Next the authors show that the study of Mr can be reduced to a dyadic smooth operator. The main reason comes from the fact that goff has the following property: for all Q ∈ Qn- j+s-1, R Q gn- j,s (y) dy=0. In the remaining part of this subsection, the authors show that two different estimates can be established for ∥(I - G n+s,v )3k T jn,s,v bn- j . . .
  

   

  

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