Geodesic
Continuity of the harmonic projection in $L^p$-spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 191-195
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For bounded finetely connected domains on the complex plane whose boundary is piece-wise and without cusp points conditions are given ensuring boundedness of the harmonic projection on $L^p$-spaces. 
@article{ZNSL_1983_126_a20,
     author = {A. A. Soloviev},
     title = {Continuity of the harmonic projection in $L^p$-spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {191--195},
     year = {1983},
     volume = {126},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a20/}
}
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A. A. Soloviev. Continuity of the harmonic projection in $L^p$-spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 191-195. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a20/