An integral formula on submanifolds of domains of Cn..

Telemachos Hatziafratis

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On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position

Piotr Jakóbczak (1983)

Annales Polonici Mathematici

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Extension and restriction of holomorphic functions

Klas Diederich, Emmanuel Mazzilli (1997)

Annales de l'institut Fourier

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Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds $D^{'}$ of pseudoconvex domains $D$ to all of $D$ even in quite simple situations; The spaces $A^{p} (D^{'}) : = 𝒪 (D^{'}) \cap L^{p} (D^{'})$ are, in general, not at all preserved. Also the image of the Hilbert space $A^{2} (D)$ under the restriction to $D^{'}$ can have a very strange structure.