@article{ZNSL_2011_389_a14,
author = {F. A. Shamoyan},
title = {Boundedness of {Toeplitz} operators in weighted {Sobolev} spaces of functions holomorphic in the disk},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {257--282},
year = {2011},
volume = {389},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_389_a14/}
}
F. A. Shamoyan. Boundedness of Toeplitz operators in weighted Sobolev spaces of functions holomorphic in the disk. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 39, Tome 389 (2011), pp. 257-282. http://geodesic.mathdoc.fr/item/ZNSL_2011_389_a14/
[1] F. A. Shamoyan, “Ob ogranichennosti odnogo klassa operatorov, svyazannykh s delimostyu analiticheskikh funktsii”, Izv. AN ArmSSR. Ser. mat., 8:6 (1973), 474–490 | MR
[2] F. A. Shamoyan, “Ob odnom klasse operatorov, svyazannykh s faktorizatsiei analiticheskikh funktsii”, Zap. nauchn. semin. LOMI, 39, 1974, 200–205 | MR | Zbl
[3] F. A. Shamoyan, “Teplitsevy operatory i delenie na vnutrennyuyu funktsiyu v nekotorykh prostranstvakh analiticheskikh funktsii”, DAN ArmSSR, 76:3 (1983), 109–113 | MR | Zbl
[4] S. Janson, J. Peetre, A. Semmes, “On the action of Hankel and Toeplitz operators on some function spaces”, Duke Math. J., 51 (1984), 937–958 | DOI | MR | Zbl
[5] K. Zhu, “Multipliers of BMO in the Bergman metric with applications to Toeplitz operators”, J. Func. Anal., 87:1 (1989), 31–50 | DOI | MR | Zbl
[6] Songxiao Li, Stevo Stević, “Volterra type operators from Zygmund space into Bloch spaces”, J. Concr. Appl. Math., 6:2 (2008), 199–207 | MR | Zbl
[7] M. M. Dzhrbashyan, Integralnye preobrazovaniya i predstavlenie funktsii v kompleksnoi oblasti, Nauka, M., 1966 | Zbl
[8] F. A. Shamoyan, “Diagonalnye otobrazheniya i voprosy predstavleniya v anizotropnykh prostranstvakh golomorfnykh v polidiske funktsii”, Sibirskii mat. zh., 31:2 (1990), 197–215 | MR | Zbl
[9] O. E. Antonenkova, F. A. Shamoyan, “Preobrazovanie Koshi lineinykh nepreryvnykh funktsionalov i proektory v vesovykh prostranstvakh analiticheskikh funktsii”, Sibirskii mat. zh., 46:6 (2005), 1208–1234 | MR | Zbl
[10] N. M. Tkachenko, F. A. Shamoyan, “The Hardy–Littlewood theorem and the operator of harmonic conjugate in some classes of simply connected domains with rectifiable boundary”, J. Math. Physics, Analysis, Geometry, 5:2 (2009), 192–210 | MR | Zbl
[11] U. Rudin, Funktsionalnyi analiz, Mir, M., 1975 | MR