A two weight local Tb theorem for the Hilbert transform Academic Article uri icon

  •  
  • Overview
  •  
  • Research
  •  
  • View All
  •  

abstract

  • We obtain a two weight local Tb theorem for any elliptic and gradient elliptic fractional singular integral operator T on the real line, and any pair of locally finite positive Borel measures on the line. This includes the Hilbert transform and in a sense improves on the T1 theorem by the authors and M. Lacey.

authors