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On the boundedness of non-integer dimension Calderón-Zygmund Operators with antisymmetric kernels

Published 7 Apr 2016 in math.CA | (1604.02014v1)

Abstract: We characterize the non-atomic measures $\mu$ for which all Calder\'{o}n-Zygmund operators with antisymmetric kernels of a fixed non-integer dimension $s$ are bounded in $L2(\mu)$ in terms of a positive quantity, the Wolff energy.

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Authors (2)

  1. Benjamin Jaye 
  2. Fedor Nazarov 

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