Abstract
Let $$\tilde \gamma (t)$$ be an even function extended by the evil ladder (tri-adic Cantor function) γ(t). Denote the curve $$\Gamma (t) = (t, \tilde \gamma (t))$$ (-1≤1≤1). It is shown that the Hilbert transform along this curve Γ is bounded onL 2(ℝ2).
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