Embedding theorems for weighted anisotropic spaces of holomorphic functions in tubular domains,

摘要

We introduce new mixed norm analytic spaces in products of tubular domains over symmetric cones and provide new sharp embedding theorems for them extending previously known assertions in tubular domain over symmetric cone and polydisk simultaniously. Our proofs are heavily based on properties of recently developed r-lattices in tubular domains over symmetric cones. Acknowledgement The second author was supported by MNTR Serbia, Project 174017.