Displaying similar documents to “Singular integrals and spherical convergence”

L boundedness of a singular integral operator.

Dashan Fan, Yibiao Pan (1997)

Publicacions Matemàtiques

Similarity:

In this paper we study a singular integral operator T with rough kernel. This operator has singularity along sets of the form {x = Q(|y|)y'}, where Q(t) is a polynomial satisfying Q(0) = 0. We prove that T is a bounded operator in the space L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t). We also obtain certain Hardy type inequalities related to this operator.