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

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 510-517.

Résumé

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.

Détail

Keywords: bounded strongly pseudoconvex domain, tubular domains over symmetric cones, Hardy-type spaces.

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