Geodesic
On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 351-370.

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We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk.
Classification : 32A18
Keywords: polydisk; diagonal mapping; Hardy classes; holomorphic spaces 
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     author = {Shamoyan, Romi F. and Mihi\'c, Olivera R.},
     title = {On some inequalities in holomorphic function theory in polydisk related to diagonal mapping},
     journal = {Czechoslovak Mathematical Journal},
     pages = {351--370},
     publisher = {mathdoc},
     volume = {60},
     number = {2},
     year = {2010},
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     zbl = {1224.32004},
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Shamoyan, Romi F.; Mihić, Olivera R. On some inequalities in holomorphic function theory in polydisk related to diagonal mapping. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 351-370. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a4/