Geodesic
Toeplitz operators in Sobolev spaces of analytic functions and applications
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 163-177

Voir la notice de l'article provenant de la source Math-Net.Ru

A complete description of the integrable functions $ h $ on the unit circle, for which the Toeplitz operator with symbol $ h $ is a bounded operator in weighted spaces of Sobolev type of analytic functions in a disc. An application is also installed results in matters of the factorization of analytic functions.
Keywords: Teoplitz operator, inner functions, linear functional, unit disc. 
@article{SEMR_2017_14_a113,
     author = {F. A. Shamoyan and V. A. Bednazh},
     title = {Toeplitz operators in {Sobolev} spaces of analytic functions and applications},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {163--177},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a113/}
}
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F. A. Shamoyan; V. A. Bednazh. Toeplitz operators in Sobolev spaces of analytic functions and applications. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 163-177. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a113/