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On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in pseudoconvex domains

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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… Click to show full abstract

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.

Keywords: type spaces; pseudoconvex domains; herz type; type; new sharp; bergman

Journal Title: Filomat
Year Published: 2019

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