ON OSCILLATING KERNELS IN THE BESOV SPACE

In this paper we consider a convolution operator Tf=p.v.Ω*f with Ω(x)=K(x)×e~((r))λ>0.where K(x)is a weak Calderon-Zygmund kernel and h(x)is a real-valued differentiablefunction. We give a boundedness criterion for such an operator to map the Besov space B_1~(0.1)(R~n)intoitself.