The class of holomorphic functions representable by Carleman formula

Lev Aizenberg; Alexander Tumanov; Alekos Vidras

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 27, Issue: 1, page 93-105
  • ISSN: 0391-173X

How to cite

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Aizenberg, Lev, Tumanov, Alexander, and Vidras, Alekos. "The class of holomorphic functions representable by Carleman formula." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.1 (1998): 93-105. <http://eudml.org/doc/84356>.

@article{Aizenberg1998,
author = {Aizenberg, Lev, Tumanov, Alexander, Vidras, Alekos},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Carleman formula; holomorphic functions of one and several variables; Ahlfors regular curve; convex domain},
language = {eng},
number = {1},
pages = {93-105},
publisher = {Scuola normale superiore},
title = {The class of holomorphic functions representable by Carleman formula},
url = {http://eudml.org/doc/84356},
volume = {27},
year = {1998},
}

TY - JOUR
AU - Aizenberg, Lev
AU - Tumanov, Alexander
AU - Vidras, Alekos
TI - The class of holomorphic functions representable by Carleman formula
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 27
IS - 1
SP - 93
EP - 105
LA - eng
KW - Carleman formula; holomorphic functions of one and several variables; Ahlfors regular curve; convex domain
UR - http://eudml.org/doc/84356
ER -

References

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  1. [1] L. Aizenberg, "Carleman's Formulas in Complex Analysis", Kluwer, 1993. Zbl0783.32002
  2. [2] L. Aizenberg, Carleman's Formulas and conditions for analytic extendability, Topics in Complex Analysis, Banach Center Publications31 (1995), 27-34. Zbl0827.32009MR1341372
  3. [3] L. Aizenberg, On certain boundary properties of analytic functionsof many complex variables, Research in modern problems of theory of functions of a complex variable, "Nauka" Moscow (1961), 239-241 (Russian). 
  4. [4] L. Aizenberg - A. Yuzhakov, "Integral representations and residues in multidimensional complex analysis", AMS, 1983. Zbl0537.32002MR735793
  5. [5] L. Aizenberg - B.C. Mityagin, The spaces offunctions analytic in multicircular domains, Sibirsk. Mat. Zh.1 (1960), 1953-1970 (Russian). 
  6. [6] L. Aizenberg - A. Kytmanov, On the holomorphic extendability offunctions given on a connected part of the boundary.II, Mat. Sb.79 (1993). 
  7. [7] R. Coifman - G. David - Y. Meyer, La solution des conjectures de Calderon, Adv. Math.48 (1983), 144-148. Zbl0518.42024MR700980
  8. [8] R. Coifman - A. McIntosh - Y. Meyer, L' integrale de Cauchy definit l'un operateur borne sur L2 pour les courbes lipschitziennes, Ann. of Math.116 (1982), 361-387. Zbl0497.42012MR672839
  9. [9] G. David, Operateurs integraux singuliers sur certaines courbes du plain complex, Ann. Sci. École Norm. Sup17 (1984), 157-189. Zbl0537.42016MR744071
  10. [10] P.L. Duren, "The theory of Hp spaces", Acad. Press, 1970. Zbl0215.20203
  11. [11] J.B. Garnett, "Bounded analytic functions", Acad. Press, 1981. Zbl0469.30024MR628971
  12. [12] G.M. Goluzin, "Geometric theory of functions of a complex variable", AMS 1969. Zbl0183.07502
  13. [13] G.M. Goluzin - V.I. Krylov, Generalized Carleman formula and its applications to analytic extension offunctions, Mat. Sb.40 (1933), 144-149, (Russian). 
  14. [14] G.M. Henkin - E.M. Chirka, Boundary properties of holomorphic functions of several complex variables, J. Soviet Math.5 (1976), 612-687. Zbl0375.32005
  15. [15] L. Hormander, LP estimates for (pluri-) subharmonic functions, Math. Scand.20 (1967), 65-78. Zbl0156.12201MR234002
  16. [16] I.I. Privalov, "Randeigenschaften Analytischer Functionen", Deutscher V. der Wiss., 1956. Zbl0073.06501
  17. [17] W. Rudin, "Function theory in the unit ball", Springer Verlag, 1980. Zbl0495.32001MR601594
  18. [18] E.L. Stout, Cauchy-Stieltjes integrals on striclty pseudoconvex domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 6 (1979), 685-702. Zbl0435.32008MR563339

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