Cauchy-Stieltjes integrals on strongly pseudoconvex domains
Edgar Lee Stout (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Edgar Lee Stout (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 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.
Giuseppe Vigna Suria (1984)
Compositio Mathematica
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Kolář, Martin
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Let be a domain with smooth boundary and . A holomorphic function on is called a () peak function at if , , and for all . If is strongly pseudoconvex, then peak functions exist. On the other hand, J. E. Fornaess constructed an example in to show that this result fails, even for functions, on a weakly pseudoconvex domain [Math. Ann. 227, 173-175 (1977; Zbl 0346.32026)]. Subsequently, E. Bedford and J. E. Fornaess showed that there is always a continuous peak function...
Jakóbczak, Piotr (1993)
Portugaliae mathematica
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