Geodesic
Estimates of oscillations of the conjugate Hardy transform and Calderon transform
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 106-117

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For the conjugate Hardy transform and Calderon transform the BLO-norm is calculated and the two-sides estimates of norm in BMO are obtained, most of which are exact. 
@article{ZNSL_2001_282_a8,
     author = {A. A. Korenovskii},
     title = {Estimates of oscillations of the conjugate {Hardy} transform and {Calderon} transform},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {106--117},
     publisher = {mathdoc},
     volume = {282},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a8/}
}
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A. A. Korenovskii. Estimates of oscillations of the conjugate Hardy transform and Calderon transform. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 106-117. http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a8/