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

Title:

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

Creator:

Shamoyan, Romi F. and Mihić, Oliveira R.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f03743e0-cd77-473d-b5fd-1f4ced904adc
uuid:f03743e0-cd77-473d-b5fd-1f4ced904adc

Subject:

polydisk, diagonal mapping, Hardy classes, and holomorphic spaces

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

351-370

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:2

Harvested from:

CDK

Metadata only:

false