On some inequalities in holomorphic function theory in polydisk related to diagonal mapping

Romi F. Shamoyan; Olivera R. Mihić

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 2, page 351-370
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Shamoyan, Romi F., and Mihić, Olivera R.. "On some inequalities in holomorphic function theory in polydisk related to diagonal mapping." Czechoslovak Mathematical Journal 60.2 (2010): 351-370. <http://eudml.org/doc/38012>.

@article{Shamoyan2010,
abstract = {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.},
author = {Shamoyan, Romi F., Mihić, Olivera R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {polydisk; diagonal mapping; Hardy classes; holomorphic spaces; diagonal mapping; Hardy class; holomorphic space},
language = {eng},
number = {2},
pages = {351-370},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some inequalities in holomorphic function theory in polydisk related to diagonal mapping},
url = {http://eudml.org/doc/38012},
volume = {60},
year = {2010},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 351
EP - 370
AB - 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.
LA - eng
KW - polydisk; diagonal mapping; Hardy classes; holomorphic spaces; diagonal mapping; Hardy class; holomorphic space
UR - http://eudml.org/doc/38012
ER -

References

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