The ends of discs
Josip Globevnik; Edgar Lee Stout
Bulletin de la Société Mathématique de France (1986)
- Volume: 114, page 175-195
- ISSN: 0037-9484
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topGlobevnik, Josip, and Stout, Edgar Lee. "The ends of discs." Bulletin de la Société Mathématique de France 114 (1986): 175-195. <http://eudml.org/doc/87508>.
@article{Globevnik1986,
author = {Globevnik, Josip, Stout, Edgar Lee},
journal = {Bulletin de la Société Mathématique de France},
keywords = {analytic discs; injectivity on the boundary; images of radii; boundary uniqueness},
language = {eng},
pages = {175-195},
publisher = {Société mathématique de France},
title = {The ends of discs},
url = {http://eudml.org/doc/87508},
volume = {114},
year = {1986},
}
TY - JOUR
AU - Globevnik, Josip
AU - Stout, Edgar Lee
TI - The ends of discs
JO - Bulletin de la Société Mathématique de France
PY - 1986
PB - Société mathématique de France
VL - 114
SP - 175
EP - 195
LA - eng
KW - analytic discs; injectivity on the boundary; images of radii; boundary uniqueness
UR - http://eudml.org/doc/87508
ER -
References
top- [Al] ALEXANDER (H.), Polynomial approximation and hulls in sets of finite linear measure, Amer. J. Math., Vol. 93, 1971, pp. 65-74, MR 44 # 1841. Zbl0221.32011MR44 #1841
- [BG] BEDFORD (E.) and GAVEAU (B.), Envelopes of holomorphy of certain 2-spheres in ℂ2, Amer. J. Math., Vol. 105, 1983, pp. 975-1009. Zbl0535.32008MR84k:32016
- [Be] BERNDTSSON (B.), Integral formulas for the ∂∂-equation and zeros of bounded holomorphic functions on the unit ball, Math. Ann., Vol. 249, 1980, pp. 163-176. Zbl0414.31007MR81m:32012
- [Ch] CHIRKA (E. M.), Reguljarnost' granits analiticheskikh mnozhestv, Mat. Sb., Vol. 117, No. 159, 1982, pp. 291-334 ; English translation : Regularity of the boundaries of analytic sets, USSR Sb., Vol. 45, 1983, pp. 291-335. Zbl0525.32005MR83f:32009
- [Du] DUREN (P.), Theory of Hp spaces, Academic Press, New York and London, 1970. Zbl0215.20203MR42 #3552
- [Fo] FORNAESS (J. E.), Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., Vol. 98, 1976, pp. 529-569, Mr 54 # 10669. Zbl0334.32020MR54 #10669
- [GS1] GLOBEVNIK (J.) and STOUT (E. L.), Holomorphic functions with highly noncontinuable boundary behavior, J. Analyse Math., Vol. 41, 1982, pp. 211-216, MR 84h32016. Zbl0564.32009MR84h:32016
- [GS2] GLOBEVNIK (J.) and STOUT (E.L.), The ends of varieties, Amer. J. Math, (to appear). Zbl0678.32005
- [Ha] HARVEY (F. R.), Holomorphic chains and their boundaries, Several Complex Variables (Proc. Sympos. Pure Math., Vol. XXX, Part 1, Williams College, Williamstown, Mass., 1975), pp. 309-352, Amer. Math. Soc., Providence, 1977. MR 56 # 5929. Zbl0374.32002
- [HCh] HENKIN (G. M.) and CHIRKA (E. M.), Granichny svoĭstva golomorfnykh funktsiĭ neskol'kikh komplekshykh peremennykh, Sovremennye Problemy Matematiki, T. 4, Itogi Nauki i Tekhniki, Moskva, 1975, pp. 13-142. (English Translation : Boundary properties of holomorphic functions of several complex variables, J. Sov. Math., Vol. 5, 1976, pp. 612-687, MR 57 # 16698).
- [Ki] KING (J.R.), The currents defined by analytic varieties, Acta Math., Vol. 127, 1971, pp. 185-220, MR 52 # 14359. Zbl0224.32008MR52 #14359
- [Ni1] NITSCHE (J.C.C.), The boundary behavior of minimal surfaces, Kellogg's theorem and branch points on the boundary, Invent. Math., Vol. 8, 1969, pp. 313-333, MR 41 # 4399 a. Zbl0195.23101MR41 #4399a
- [Ni2] NITSCHE (J.C.C.), Concerning my paper on the boundary behavior of minimal surfaces, Invent. Math., Vol. 9, 1969/1970, 270. MR 41 # 4399 b. Zbl0202.20601MR41 #4399b
- [Pr] PRIVALOW (I. I.), Randeigenschaften Analytisher Funktioneu, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956.
- [Ri] RICKART (C. E.), General Theory of Banach Algebras, Van Nostrand, Princeton, 1960. Zbl0095.09702MR22 #5903
- [Ru1] RUDIN (W.), Subalgebras of spaces of continuous functions, Proc. Amer. Math. Soc., Vol. 7, 1956, pp. 825-830, MR 18, p. 587. Zbl0073.09102MR18,587a
- [Ru2] RUDIN (W.), Function Theory in the Unit Ball of ℂN, Springer-Verlag, New York, Heidelberg, Berlin, 1980. Zbl0495.32001MR82i:32002
- [St] STOLZENBERG (G.), Uniform approximation on smooth curves, Acta Math., Vol. 115, 1966, pp. 185-198, MR 33 # 307. Zbl0143.30005MR33 #307
- [We] WERMER (J.), Polynomial approximation on an arc in ℂ3, Ann. Math., Vol. 62, (2), 1955, pp. 269-270, MR 17, p. 255. Zbl0067.05001MR17,255h
- [Zy] ZYGMUND (A.), Trigonometric Series, second edition, Cambridge University Press, Cambridge, 1979.
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