In this paper we show that if K(x)=Ω(x)l|\x|~n is a Calderon-Zygmu- nd kernel,where Ω∈L^q(S^(n-1)) for some 1<q≤∞,and b(x) is a radial function such that |b(r)|~p·dr≤cR for all R>0 and some 1<p_0&...In this paper we show that if K(x)=Ω(x)l|\x|~n is a Calderon-Zygmu- nd kernel,where Ω∈L^q(S^(n-1)) for some 1<q≤∞,and b(x) is a radial function such that |b(r)|~p·dr≤cR for all R>0 and some 1<p_0<∞,then Tf=P.V.(bK)*f is bounded on L^p() for 1<p≤∞ and n≥2.Moreover, we show that T is bounded from BMO to BMO iff b(x) is satisfied the condition star (*).展开更多
文摘In this paper we show that if K(x)=Ω(x)l|\x|~n is a Calderon-Zygmu- nd kernel,where Ω∈L^q(S^(n-1)) for some 1<q≤∞,and b(x) is a radial function such that |b(r)|~p·dr≤cR for all R>0 and some 1<p_0<∞,then Tf=P.V.(bK)*f is bounded on L^p() for 1<p≤∞ and n≥2.Moreover, we show that T is bounded from BMO to BMO iff b(x) is satisfied the condition star (*).
