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Valeurs au bord des modules de fonctions holomorphes. (French) Zbl 0514.32008


MSC:

32D15 Continuation of analytic objects in several complex variables
32A10 Holomorphic functions of several complex variables
32A40 Boundary behavior of holomorphic functions of several complex variables
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References:

[1] Aleksandrov, A.B.: Existence des fonctions internes dans la boule. Math. USSR. Sborn. 147-163 (1982) (en russe) · Zbl 0503.32001
[2] Coifman, R.R., Weiss, G.: Analyse harmonique non commutative sur certains espaces homogènes. Lecture Notes in Mathematics, Vol. 242. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0224.43006
[3] Hakim, M., Sibony, N.: Fonctions holomorphes bornées sur la boule unité deC p . Invent. Math.67, 213-222 (1982) · Zbl 0491.32014 · doi:10.1007/BF01393814
[4] Helms, L.L.: Introduction to potential theory. New York: Wiley 1969 · Zbl 0188.17203
[5] Löw, E.: A construction of inner functions on the unit ball inC p . Invent. Math.67, 223-229 (1982) · Zbl 0528.32006 · doi:10.1007/BF01393815
[6] Löw, E.: Inner functions and boundary values inH ?(?) andA(?) in smoothly bounded pseudoconvex domains. Ph. D., Princeton University, June 1983
[7] Rudin, W.: Function theory in the unit ball ofC n . Berlin, Heidelberg, New York: Springer 1980 · Zbl 0495.32001
[8] Rudin, W.: Inner functions in the unit ball ofC n . Preprint (1982)
[9] Tomaszewski, B.: The Schwarz lemma for inner functions in the unit ball ofC n . Univ. of Wisconsin, preprint (1982)
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