Geodesic
New Characterizations of the Weighted Composition Operators Between Bloch Type Spaces in the Polydisk
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 794-802

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DOI

We give some new characterizations for compactness of weighted composition operators $u{{C}_{\varphi }}$ acting on Bloch-type spaces in terms of the power of the components of $\varphi$ , where $\varphi$ is a holomorphic self-map of the polydisk ${{\mathbb{D}}^{n}}$ , thus generalizing the results obtained by Hyvärinen and Lindström in 2012.
DOI : 10.4153/CMB-2013-043-4
Mots-clés : 47B38, 47B33, 32A37, 45P05, 47G10, weighted composition operator, compactness, Bloch type spaces, polydisk, several complex variables 
Fang, Zhong-Shan; Zhou, Ze-Hua. New Characterizations of the Weighted Composition Operators Between Bloch Type Spaces in the Polydisk. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 794-802. doi: 10.4153/CMB-2013-043-4
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     title = {New {Characterizations} of the {Weighted} {Composition} {Operators} {Between} {Bloch} {Type} {Spaces} in the {Polydisk}},
     journal = {Canadian mathematical bulletin},
     pages = {794--802},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2013-043-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-043-4/}
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