Geodesic
Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 107-116

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We study and solve the Dirichlet problem for holomorphic functions in spaces with a determined modulus of continuity: the existence of the function which is holomorphic inside a disk is proved by the limit values of its real part on the disk's boundary.
Keywords: Dirichlet problem, holomorphic functions, modulus of continuity. 
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     author = {A. Yu. Timofeev},
     title = {Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {107--116},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a9/}
}
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A. Yu. Timofeev. Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 107-116. http://geodesic.mathdoc.fr/item/VUU_2011_3_a9/