Geodesic
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

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A complete description is found for functions $h$ integrable on the unit circle and having the property that the Toeplitz operator whose symbol is $h$ is bounded in certain weighted Sobolev spaces of functions holomorphic in the disk. 
@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},
     publisher = {mathdoc},
     volume = {389},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_389_a14/}
}
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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/