Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals

@inproceedings{Lerner2010SharpWN,
  title={Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals},
  author={Andrei K. Lerner},
  year={2010}
}
  • Andrei K. Lerner
  • Published 2010
  • Mathematics
  • We prove sharp Lp(w) norm inequalities for the intrinsic square function (introduced recently by M. Wilson) in terms of the Ap characteristic of w for all 1<p<∞. This implies the same sharp inequalities for the classical Lusin area integral S(f), the Littlewood–Paley g-function, and their continuous analogs Sψ and gψ. Also, as a corollary, we obtain sharp weighted inequalities for any convolution Calderon–Zygmund operator for all 1<p⩽3/2 and 3⩽p<∞, and for its maximal truncations for 3⩽p<∞. 

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