沿着 R n 被调查,在此 β 】 α 】 0。L p T 4 的围住的海角定理被获得,它是 n = 的一些更早的结果的延期 2 并且 n = 3。
The hyper Hilbert transform Tnf(x) =∫-1^1 f(x - Γ(t))e^-i|t|-β|t|^-1-αdt along an appropriate curve Γ(t) on R^n is investigated,where β 〉 α 〉 0.An L^p boundedness theorem of T4 is obtained,which is an extension of some earlier results of n = 2 and n = 3.