具有粗糙变量核的振荡奇异积分(英文)

OSCILLATORY SINGULAR INTEGRALS WITH VARIABLE ROUGH KERNELS

建立了具有变量核Ω(x ,y/ ｜y｜) ｜y｜-n的振荡奇异积分算子的Lp(Rn)有界性 ,其中Ω(x ,·)∈Lq(Sn- 1) ,1<p<∞ ,1<q≤∞ 且p≥q/ (q- 1) .

The L-p(R-n)-boundedness of the os cillatory singular integrals with variable rough kernels Ω(x,y/|y|)|y|- -n is established, where Ω(x,·)∈L-q(S- n-1),1<p<∞,1<q≤∞ and p≥q/(q-1).