Geodesic
Sarason transform in Sobolev space
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 33-39

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The classical Sarason transform in a canonical isomorphism of the model space $H^2/\theta H^2$ ($\theta$ is an inner function generated by the single point mass) onto the standard $L^2$ space. In the paper the image of the space of smooth functions $H^1_2=\{f\colon f'\in H^2\}$ under this transform is described in explicit terms. The pointwise estimates of the model operator in $H^1_2/\theta H^1_2$ are obtained. Bibliography: 5 titles. 
@article{ZNSL_1993_206_a2,
     author = {I. A. Boricheva and E. M. Dyn'kin},
     title = {Sarason transform in {Sobolev} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {33--39},
     publisher = {mathdoc},
     volume = {206},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a2/}
}
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I. A. Boricheva; E. M. Dyn'kin. Sarason transform in Sobolev space. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 33-39. http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a2/