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

Kuang Jichang

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

Received 14 July 1993; Revised 3 March 1995

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).