Geodesic
Weighted norm inequalities for the Littlewood--Paley function in domains with cone-points
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 278-282

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The classes $\mathscr H_\alpha^p(\Omega)$ of harmonic functions in a domain $\Omega$, $\Omega\subset\mathbb R^n$, $n\ge3$, with finite number of cone-points are introduced. The weighted analogue of the well-known Littlewood–Paley inequality for corresponding functions in $\Omega$ is proved. 
@article{ZNSL_1979_92_a20,
     author = {A. \`E. Dzhrbashyan},
     title = {Weighted norm inequalities for the {Littlewood--Paley} function in domains with cone-points},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {278--282},
     publisher = {mathdoc},
     volume = {92},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a20/}
}
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A. È. Dzhrbashyan. Weighted norm inequalities for the Littlewood--Paley function in domains with cone-points. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 278-282. http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a20/