Geodesic
Carleson measures theorems for generalized Bergman spaces on the unit polydisk
Glasgow mathematical journal, Tome 43 (2001) no. 2, pp. 277-294

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We provide sufficient conditions on a positive finite rotation invariant Borel measure on {D}^n which guarantee that the analogue of the Carleson measure theorem remains valid for Bergman spaces of holomorphic and n-harmonic functions on {D}^n generated by the measure. 
Michalak, Artur. Carleson measures theorems for generalized Bergman spaces on the unit polydisk. Glasgow mathematical journal, Tome 43 (2001) no. 2, pp. 277-294. doi: 10.1017/S0017089501020122
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     author = {Michalak, Artur},
     title = {Carleson measures theorems for generalized {Bergman} spaces on the unit polydisk},
     journal = {Glasgow mathematical journal},
     pages = {277--294},
     year = {2001},
     volume = {43},
     number = {2},
     doi = {10.1017/S0017089501020122},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089501020122/}
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