On continuous linear functionals in some weighted functional classes on~product domains

R. F. Shamoyan ; N. M. Makhina

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 651-678.

Résumé

This expository article provides an overview of some new research results of authors and their colleagues regarding the problem of description of continuous linear functionals in weighted spaces of analytic and $n$-harmonic functions in one dimension case and $n$-dimensional complex space $C^n$. New extension is discussed, some new interesting problems in analytic spaces in product domains are also discussed.

Détail

Keywords: weighted spaces, linear continuous functionals, conjugate space, analytic functions, polydisk, unit ball, tubular domains.
Mots-clés : pseudoconvex domains

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