International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 1, Pages 15-18
doi:10.1155/S0161171296000038

Elliptic Riesz operators on the weighted special atom spaces

Jichang Kuang

Department of Mathematics, Hunan Normal University, Hunan, Changsha 410081, China

Abstract

In this paper we study the boundedness and convergence of σrs(f) and σ˜rs(f), the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s>0, on the weighted special atom space B(ω).