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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{CMJ_2010_60_2_a4,
     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},
     year = {2010},
     volume = {60},
     number = {2},
     mrnumber = {2657954},
     zbl = {1224.32004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a4/}
}
TY  - JOUR
AU  - Shamoyan, Romi F.
AU  - Mihić, Olivera R.
TI  - On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 351
EP  - 370
VL  - 60
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a4/
LA  - en
ID  - CMJ_2010_60_2_a4
ER  - 
%0 Journal Article
%A Shamoyan, Romi F.
%A Mihić, Olivera R.
%T On some inequalities in holomorphic function theory in polydisk related to diagonal mapping
%J Czechoslovak Mathematical Journal
%D 2010
%P 351-370
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a4/
%G en
%F CMJ_2010_60_2_a4
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/