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arxiv: 0901.0366 · v3 · pith:MDADEF45new · submitted 2009-01-04 · 🧮 math.CV · math.FA

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

classification 🧮 math.CV math.FA
keywords spacesoperatorsmultipliersriemann-stieltjesactingballbiusbloch
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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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