The Hilbert transform along the extended evil ladder curve  

作　　者：Baoyi Wu Weiyi Su 

机构地区：[1]Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

出　　处：《Chinese Science Bulletin》1999年第1期49-53,共5页

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).

关 键 词：HILBERT TRANSFORM FOURIER TRANSFORM EVIL LADDER curve. 

分 类 号：O177[理学—数学]