A Class of Singular Integral Operators——Developments and Problems

Abstract:

      In the present paper we introduce some results on singular integral operators defined by Tf(x)=p.v.H·f(x) where H(x)= b (x)K (x), b(x) is a bounded radial function and K(x) is a clas sical kernel. Futhermore we propose some open problems on L_p boundedness of the operator T.