Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$

Details Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$ Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$

2009-01-04

arxiv.org/abs/0901.0366v3

Journal of Mathematical Analysis and Applications, 377 (2011), 180-193

Mathematics

Complex Variables

16 pages

Scientific paper

10.1016/j.jmaa.2010.10.028

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers acting on M${\rm \ddot{o}}$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 $T_q^\infty$.

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