The class of holomorphic functions representable by Carleman formula
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Lev Aizenberg, Alexander Tumanov, Alekos Vidras (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
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