Transference of multilinear fourier and schur multipliers acting on noncommutative $l_p$ -spaces for non-unimodular groups

HIGHLIGHTS

• What: The authors propose suitable extension of the definition of multilinear Fourier for non-unimodular groups and show that the aforementioned transference results also hold in this more general setting. The authors explore what a suitable definition for the Fourier multiplier Tφ: Lp1 (LG) ×... The properties do carry over, as the authors show in Lemmas 3.6 and 3.8. The authors show only that limV∈V B2k,V=0; the equality limV∈V B1k,V=0 follows similarly and is in fact slightly easier since the Tj are contractions for j ≤ i.
• Who: Schur . . .
  

   

  

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