Formula omitted]-type spaces in the unit ball of [formula omitted](V): Riemann-Stieltjes operators and multipliers

Abstract

The purpose of this paper is to study a new class of function spaces, called N(p,q,s)-type spaces, in the unit ball B of Cn. We further the line of research in [6] by first studying an embedding theorem of N(p,q,s)-type spaces into tent spaces. As an application, we describe the behavior of the Riemann-Stieltjes operators on N(p,q,s)-type spaces. Finally, we study the multipliers between general Bergman spaces and N(p,q,s)-types spaces, as well as the multipliers between holomorphic Lipschitz spaces and N(p,q,s)-type spaces.