ON SOME NEW SHARP EMBEDDING THEOREMS FOR MULTIFUNCTIONAL HERZ TYPE AND BERGMAN TYPE SPACES IN PSEUDOCONVEX DOMAINS

Romi Shamoyan, Olivera Mihic

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.

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