On some problems connected with diagonal map in some spaces of analytic functions

Title:

On some problems connected with diagonal map in some spaces of analytic functions

Creator:

Shamoyan, Romi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d8463b74-e321-4788-9e72-7c2aea74c729
uuid:d8463b74-e321-4788-9e72-7c2aea74c729
doi:10.21136/MB.2008.140625

Subject:

diagonal map, holomorphic function, Bergman space, and polydisk

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For any holomorphic function f on the unit polydisk D n we consider its restriction to the diagonal, i.e., the function in the unit disc D ⊂ C defined by Diag f(z) = f(z, . . . , z), and prove that the diagonal map Diag maps the space Qp,q,s(D n ) of the polydisk onto the space Qbq p,s,n(D ) of the unit disk.

Language:

English

Rights:

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

Coverage:

351-366

Source:

Mathematica bohemica | 2008 Volume:133 | Number:4

Harvested from:

CDK

Metadata only:

false