科研之友
微信
新浪微博
Facebook
分享链接
摘要
Given any uniform domain Omega, the Triebel-Lizorkin space F-p(s),(q)( Omega) with 0 < s < 1 and 1 < p, q < infinity can be equipped with a norm in terms of first-order differences restricted to pairs of points whose distance is comparable to their distance to the boundary. Using this new characterization, we prove a T(1)-theorem for fractional Sobolev spaces with 0 < s < 1 for any uniform domain and for a large family of Calderon-Zygmund operators in any ambient space R-d as long as sp > d.
- 出版日期2017-7
