Geodesic
On continuous linear functionals in some weighted functional classes on~product domains
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 651-678

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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.
Keywords: weighted spaces, linear continuous functionals, conjugate space, analytic functions, polydisk, unit ball, tubular domains.
Mots-clés : pseudoconvex domains 
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     author = {R. F. Shamoyan and N. M. Makhina},
     title = {On continuous linear functionals in some weighted functional classes on~product domains},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {651--678},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a78/}
}
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R. F. Shamoyan; N. M. Makhina. On continuous linear functionals in some weighted functional classes on~product domains. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 651-678. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a78/