The two weight T1 theorem for fractional Riesz transforms when one measure is supported on a curve Academic Article uri icon

  •  
  • Overview
  •  
  • Research
  •  
  • View All
  •  

abstract

  • Using our T1 theorem with an energy side condition allowing common point masses, we extend our previous work in arXiv:1310.4484v3 on one measure supported on a line, to include regular C(1,delta) curves and to permit common point masses. In the special case of the Cauchy transform with one measure supported on the circle, this gives a slightly different conclusion than that in arXiv:1310.4820v4.

authors