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Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative

Published 28 Nov 2022 in math.FA | (2211.15085v1)

Abstract: In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted $L2$ spaces. It provides a weighted version for the estimate of the quantised derivative introduced by Alain Connes and studied recently by Lord--McDonald--Sukochev--Zanin.

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Authors (3)

  1. Zhenbing Gong 
  2. Ji Li 
  3. Brett D. Wick 

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