Geodesic
Lipschitz Type Characterizations for Bergman Spaces
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 613-626

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DOI

We obtain new characterizations for Bergman spaces with standard weights in terms of Lipschitz type conditions in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As a consequence, we prove optimal embedding theorems when an analytic function on the unit disk is symmetrically lifted to the bidisk.
DOI : 10.4153/CMB-2009-060-6
Mots-clés : 32A36, Bergman spaces, hyperbolic metric, Lipschitz condition 
Wulan, Hasi; Zhu, Kehe. Lipschitz Type Characterizations for Bergman Spaces. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 613-626. doi: 10.4153/CMB-2009-060-6
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     title = {Lipschitz {Type} {Characterizations} for {Bergman} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {613--626},
     year = {2009},
     volume = {52},
     number = {4},
     doi = {10.4153/CMB-2009-060-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-060-6/}
}
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