Extension and restriction of holomorphic functions
Klas Diederich, Emmanuel Mazzilli (1997)
Annales de l'institut Fourier
Similarity:
Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds of pseudoconvex domains to all of even in quite simple situations; The spaces are, in general, not at all preserved. Also the image of the Hilbert space under the restriction to can have a very strange structure.