Abstract
The problem for separation of singularities for holomorphic functions is resolved for classes \(E^p\), \(1<p<\infty \), for bounded domains \(\mathcal {D}\subset \mathbb {C}\) with Ahlfors regular boundary and for Hardy classes \(H^p\), \(1<p<\infty \), for strictly pseudoconvex domains \( \Omega \subset \mathbb {C}^n\).
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Notes
After the author’s talk at the Workshop on Functional Analysis (Valencia, June 2013), many mathematicians asked him to add an English translation of Havin’s proof to the paper. We do this in accordance with V.P. Havin’s kind permission.
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Acknowledgments
The author thanks A.M. Kytmanov, N.N. Tarkhanov and A. Vidras for their useful advice during the preparation of the paper, and E. Liflyand and A. Vidras for their help in the preparation of the paper for publication.