ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS

Abstract

We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on Bergman kernel. Similar type result in such type spaces in tubular domains over symmetric cones will be also provided.

Authors and Affiliations

Romi Shamoyan, Alexandr Shipka

Keywords

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  • EP ID EP505447
  • DOI 10.18454/2079-6641-2018-21-1-64-77
  • Views 87
  • Downloads 0

How To Cite

Romi Shamoyan, Alexandr Shipka (2018). ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS. Вестник КРАУНЦ. Физико-математические науки, 1(), 64-77. https://europub.co.uk/articles/-A-505447