paper

Riemann-Stieltjes operators and multipliers on $Q_{p}$ spaces in the unit ball of $C^{n}$

arXiv:0901.0366 · doi:10.1016/j.jmaa.2010.10.028

Abstract

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers acting on M $o ¨$ bius invariant spaces $Q_{p}$ , which unify BMOA and Bloch space in the scale of $p$ . The boundedness and compactness of these operators on $Q_{p}$ spaces are determined by means of an embedding theorem, i.e. $Q_{p}$ spaces boundedly embedded in the non-isotropic tent type spaces $T_{q}^{\infty}$ .

16 pages

Riemann-Stieltjes operators and multipliers on Qp​ spaces in the unit ball of Cn

Abstract

Riemann-Stieltjes operators and multipliers on $Q_{p}$ spaces in the unit ball of $C^{n}$