Search: All articles in the CMB digital archive with keyword \BMOA$ Expand all Collapse all Results 1 - 3 of 3 1. CMB 2004 (vol 47 pp. 49) Lindström, Mikael; Makhmutov, Shamil; Taskinen, Jari  The Essential Norm of a Bloch-to-$Q_p$Composition Operator The$Q_p$spaces coincide with the Bloch space for$p>1$and are subspaces of$\BMOA$for$0 Keywords:Bloch space, little Bloch space, $\BMOA$, $\VMOA$, $Q_p$ spaces,, composition operator, compact operator, essential normCategories:47B38, 47B10, 46E40, 46E15
 On Analytic Functions of Bergman $\BMO$ in the Ball Let $B = B_n$ be the open unit ball of $\bbd C^n$ with volume measure $\nu$, $U = B_1$ and ${\cal B}$ be the Bloch space on $U$. ${\cal A}^{2, \alpha} (B)$, $1 \leq \alpha < \infty$, is defined as the set of holomorphic $f\colon B \rightarrow \bbd C$ for which $$\int_B \vert f(z) \vert^2 \left( \frac 1{\vert z\vert} \log \frac 1{1 - \vert z\vert } \right)^{-\alpha} \frac {d\nu (z)}{1-\vert z\vert} < \infty$$ if $0 < \alpha <\infty$ and ${\cal A}^{2, 1} (B) = H^2(B)$, the Hardy space. Our objective of this note is to characterize, in terms of the Bergman distance, those holomorphic $f\colon B \rightarrow U$ for which the composition operator $C_f \colon {\cal B} \rightarrow {\cal A}^{2, \alpha}(B)$ defined by $C_f (g) = g\circ f$, $g \in {\cal B}$, is bounded. Our result has a corollary that characterize the set of analytic functions of bounded mean oscillation with respect to the Bergman metric. Keywords:Bergman distance, \BMOA$, Hardy space, Bloch functionCategory:32A37 3. CMB 1997 (vol 40 pp. 475) Lou, Zengjian  Coefficient multipliers of Bergman spaces$A^p$, II We show that the multiplier space$(A^1,X)=\{g:M_\infty(r,g'') =O(1-r)^{-1}\}$, where$X$is$\BMOA$,$\VMOA$,$B$,$B_0$or disk algebra$A$. We give the multipliers from$A^1$to$A^q(H^q)(1\le q\le \infty)$, we also give the multipliers from$l^p(1\le p\le 2), C_0, \BMOA$, and$H^p(2\le p<\infty)$into$A^q(1\le q\le 2)$. Keywords:Multiplier, Bergman space, Hardy space, Bloch space,$\BMOA\$.Categories:30H05, 30B10