On some new sharp embedding theorems in minimal and pseudoconvex domains

Title:

On some new sharp embedding theorems in minimal and pseudoconvex domains

Creator:

Shamoyan, Romi F and Mihić, Olivera R

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ef6cbe90-04ae-46d0-b3bf-fd60b8f6a543
uuid:ef6cbe90-04ae-46d0-b3bf-fd60b8f6a543
issn:0011-4642

Subject:

matematika, definice, prostor, mathematics, definition, embedding theorem, minimal domain, pseudoconvex domain, Bergman-type space, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We present new sharp embedding theorems for mixed-norm analytic spaces in pseudoconvex domains with smooth boundary. New related sharp results in minimal bounded homogeneous domains in higher dimension are also provided. Last domains we consider are domains which are direct generalizations of the well-studied so-called bounded symmetric domains in Cn. Our results were known before only in the very particular case of domains of such type in the unit ball. As in the unit ball case, all our proofs are heavily based on nice properties of the r-lattice. Some results of this paper can be also obtained in some unbounded domains, namely tubular domains over symmetric cones., Romi F. Shamoyan, Olivera R. Mihić., and Obsahuje seznam literatury

Language:

English

Rights:

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

Coverage:

527-546

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false