摘要
Let γ(t) be an even function extended by the evil ladder (tri-adic Cantor function)γ(t).Denote the curve L(t)=(t,(t))(-1≤t≤1). It is shown that the Hilbert transform along this curve L is bounded on L^2 (R^2).
Let be an even function extended by the evil ladder (tri-adic Cantor function) γ(t). Denote the curve (-1≤1≤1). It is shown that the Hilbert transform along this curve Γ is bounded onL 2(?2).
