摘要: We prove Lp (and weighted Lp) bounds for singular integrals of the form p.v. ?Rn E (A(x) - A(y) / |x y|) (O(x y) y|n) f(y) dy, where E(t) = cos t if O is odd, and sin even, where N A I BMO. Even in case that smooth, theory with rough kernels plays a key role proof. By standard techniques, trigonometric function can then be replaced by large class smooth functions F. Some related operators are also considered. As further application we compactness result certain layer potentials.
unirioja.es
ems-ph.org参考文章(0)