arXiv 0901.03662009-01math.CVmath.FA

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

Ru Peng, Caiheng Ouyang

备注：: 16 pages
发表信息：: Journal of Mathematical Analysis and Applications, 377 (2011), 180-193
DOI：: 10.1016/j.jmaa.2010.10.028

英文摘要：

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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