Geodesic
О тeплицевых операторах в весовых Соболевских пространствах голоморфных в полидиске функций
Problemy analiza, no. 18 (2011), pp. 90-91 
F. A. Shamoyan. О тeплицевых операторах в весовых Соболевских пространствах голоморфных в полидиске функций. Problemy analiza, no. 18 (2011), pp. 90-91. http://geodesic.mathdoc.fr/item/PA_2011_18_a6/
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     author = {F. A. Shamoyan},
     title = {{\CYRO} {\cyrt}e{\cyrp}{\cyrl}{\cyri}{\cyrc}{\cyre}{\cyrv}{\cyrery}{\cyrh} {\cyro}{\cyrp}{\cyre}{\cyrr}{\cyra}{\cyrt}{\cyro}{\cyrr}{\cyra}{\cyrh} {\cyrv} {\cyrv}{\cyre}{\cyrs}{\cyro}{\cyrv}{\cyrery}{\cyrh} {{\CYRS}{\cyro}{\cyrb}{\cyro}{\cyrl}{\cyre}{\cyrv}{\cyrs}{\cyrk}{\cyri}{\cyrh}} {\cyrp}{\cyrr}{\cyro}{\cyrs}{\cyrt}{\cyrr}{\cyra}{\cyrn}{\cyrs}{\cyrt}{\cyrv}{\cyra}{\cyrh} {\cyrg}{\cyro}{\cyrl}{\cyro}{\cyrm}{\cyro}{\cyrr}{\cyrf}{\cyrn}{\cyrery}{\cyrh} {\cyrv} {\cyrp}{\cyro}{\cyrl}{\cyri}{\cyrd}{\cyri}{\cyrs}{\cyrk}{\cyre} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt}},
     journal = {Problemy analiza},
     pages = {90--91},
     year = {2011},
     number = {18},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2011_18_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A complete characterization of those symbols for which the corresponding Toeplitz operators are bounded in Sobolev spaces of holomorphic functions in the polydisk is obtained.

[1] Djrbashian A., Shamoyan F. A., Topics in theory of $A_{\alpha}^p$, spaces, Teubner Texte zur. Math., BSB, Leipzig, 1988, 200 pp. | MR

[2] Nikolski N. K., Operators, functions and systems: An easy reading, Amer. Math. Soc., New-York, 2001

[3] Shamoyan F. A., “Teplitsevy operatory v nekotorykh prostranstvakh funktsii i novaya kharakteristika klassa $BMOA$”, Izv. AN Arm. SSR, 22:2 (1987), 122–132 | MR | Zbl

[4] Shamoyan F. A., Arutyunyan A. V., “Teplitsevy operatory v anizotropnykh prostranstvakh golomorfnykh v polidiske funktsii”, DAN Arm. SSR, 91:4 (1990), 147–151 | MR