Hilbert Transforms Along Curves in the Heisenberg Group
Joonil Kim · Proceedings of the London Mathematical Society · 2000
We consider Hilbert transforms along curves Γ on the Heisenberg group. In particular, necessary and sufficient conditions for the L2-boundedness are given for Γ(t)=(t,γ(t),0) when γ is even or odd and convex on R+. 1991 Mathematics Subject Classification: 42B20, 42B25.