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On traces in Hardy type analytic spaces in bounded strictly pseudoconvex domains and in tubular domains over symmetric cones
Romi F. Shamoyan, Sergey M. Kurilenko Natural Sciences Institute, Brjansk State University,
Bejickaya, 14, Brjansk, 241036, Russia
Abstract:
We provide some new estimates on Traces in new mixed norm Hardy type spaces and related new results on Bergman type intergal operators in Hardy type spaces in tubular domains over symmetric cones and bounded striclty pseudoconvex domains with smooth boundary. We generalize a well-known one dimensional result concerning Traces of Hardy spaces obtained previously in the unit disk by various authors.
Keywords:
bounded strongly pseudoconvex domain, tubular domains over symmetric cones, Hardy-type spaces.
Received: 30.01.2016 Received in revised form: 03.06.2016 Accepted: 15.08.2016
Citation:
Romi F. Shamoyan, Sergey M. Kurilenko, “On traces in Hardy type analytic spaces in bounded strictly pseudoconvex domains and in tubular domains over symmetric cones”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 510–517
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https://www.mathnet.ru/eng/jsfu513 https://www.mathnet.ru/eng/jsfu/v9/i4/p510
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Abstract page: | 279 | Full-text PDF : | 96 | References: | 49 |
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