摘要
The singular integral operator Tα,βf(x)=p.v.∫R^n[e^i|y|^-βΩ(y’)]/[|y|^n+α]f(x-y)dy,defined for all test functions f is studied,whereΩ(y')is a distribution on the unit sphere S^n-1 satisfying certain cancellation condition.It is proved that Tα,βis a bounded operator from the Triebel-Lizorkin space Fp^s,q to the Triebel-Lizorkin space Fp^s+γ,q,provided thatΩ(y')is a distribution in the Hardy space H^r(S^n-1)with r=(n-1)/(n-1+γ).
基金
Supported by the National 973 Program of China(1999075105)
National Natural Science Foundation of China(10271107)
RFDP(20030335019)
Natural Science Foundation of Zhejiang Proyince(RC97017)
