摘要

In this paper we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: L-lambda(f; x, y) = integral integral(D) f (s, t) H-lambda (s-x, t-y) ds dt, (x, y) is an element of D, where D = %26lt; a, b %26gt; x %26lt; c, d %26gt; (%26lt; a, b %26gt; x %26lt; c, d %26gt; is an arbitrary closed, semi-closed or open region in R-2) and lambda epsilon Lambda, Lambda is a set of non-negative numbers with accumulation point lambda(0). Also we provide an example to support these theoretical results.

  • 出版日期2014-11-4