Open AccessOn some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in pseudoconvex domains
Author(s) -
Romi F. Shamoyan,
Olivera R. Mihić
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917677s
Subject(s) - mathematics , bergman kernel , embedding , type (biology) , pure mathematics , bounded function , holomorphic function , bergman space , mathematical proof , norm (philosophy) , mathematical analysis , geometry , computer science , ecology , artificial intelligence , political science , law , biology
We introduce new multifunctional mixed norm analytic Herz-type spaces in strongly pseudoconvex domains and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp results for new multifunctional Bergman-type spaces will be also provided under one condition on Bergman kernel. Similar results with similar proofs in unbounded tubular domains over symmetric cones and bounded symmetric domains will be also shortly mentioned.