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Reports AIAS. Vol. 22, no 1. P. 32-38. ISSN 1726-9946

Reports AIAS. Vol. 22, no 1. P. 32-38. ISSN 1726-9946

Contents of this issue

DOI: 10.47928/1726-9946-2022-22-1-32-38

MATHEMATICS

MSC 32A10; 32A37 Research Article

On traces of new BMOA type spaces in tubular domains over symmetric cones

1Shamoyan R. F., 2Mihi´c O. R.

Presented by academician of AIAS N.L. Patchulia

1Bryansk State Technical University, Bryansk, Russia
2University of Belgrade, Belgrade, Serbia
E-mail: 1rshamoyaan@gmail.com, 2oliveradj@fon.rs

    We provide new sharp trace theorems in new BMOA type analytic function spaces in tubular domains over symmetric cones under certain condition on the Bergman kernel. We obtain based on known properties of r-lattices in tubular domains complete analogues of our previously known results obtained previously by the authors in the unit ball and then in bounded strongly pseudoconvex domains with smooth boundary. Proofs of all theorems in all domains are based mainly on same ideas.

Keywords: analytic function, BMOA type space, tubular domains, trace theorems.

                                                                                                                                                © R. F. Shamoyan,
                                                                                                                                                O. R. Mihi´c, 2022

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For citation.Shamoyan R. F., Mihi´c O. R. On traces of new BMOA type spaces in tubular domains over symmetric cones // Reports of AIAS. 2022. Vol. 22, no. 1. P. 32–38.
DOI: 10.47928/1726-9946-2022-22-1-32-38

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