Cauchy-Stieltjes integrals on strongly pseudoconvex domains

Edgar Lee Stout

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 4, page 685-702
  • ISSN: 0391-173X

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Lee Stout, Edgar. "Cauchy-Stieltjes integrals on strongly pseudoconvex domains." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 685-702. <http://eudml.org/doc/83825>.

@article{LeeStout1979,
author = {Lee Stout, Edgar},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Cauchy-Stieltjes integrals; reproducing kernel; strictly pseudoconvex domain; Hardy space; algebra of holomorphic functions},
language = {eng},
number = {4},
pages = {685-702},
publisher = {Scuola normale superiore},
title = {Cauchy-Stieltjes integrals on strongly pseudoconvex domains},
url = {http://eudml.org/doc/83825},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Lee Stout, Edgar
TI - Cauchy-Stieltjes integrals on strongly pseudoconvex domains
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 685
EP - 702
LA - eng
KW - Cauchy-Stieltjes integrals; reproducing kernel; strictly pseudoconvex domain; Hardy space; algebra of holomorphic functions
UR - http://eudml.org/doc/83825
ER -

References

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  1. [1] P. Duren, Theory of Hp-Spaces, Academic Press, New York, 1970. Zbl0215.20203MR268655
  2. [2] M. Elgueta, Extension of functions holomorphic in a submanifold in general position and C∞ up to the boundary to strictly pseudoconvex domains, Dissertation, University of Wisconsin, Madison, 1975. 
  3. [3] J.E. Fornaess, Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., 98 (1976), pp. 529-569. Zbl0334.32020MR422683
  4. [4] G.M. Henkin, Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications, Mat. Sb., 78 (1969), pp. 611-632 (English translation: Math. USSR-Sb., 7 (1969), pp. 597-616). Zbl0208.35102MR249660
  5. [5] N. Kerzman - E.M. Stein, The Szegö kernel in terms of the Cauchy-Fantappiè kernels, Duke Math. J., 45 (1978), pp. 197-224. Zbl0387.32009MR508154
  6. [6] A. Nagel, Cauchy transformations of measures, and a characterization of smooth peak interpolation sets for the ball algebra, RockyMountain J. Math., 9 (1979), pp. 299-305. Zbl0424.32003MR519944
  7. [7] I.I. Priwalow: Randeigenschaften Analytischer Funktionen, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956. Zbl0073.06501MR83565
  8. [8] E. Ramírez De Arellano, Ein Divisionproblem und Randintegraldarstellungen in der Komplexen Analysis, Math. Ann., 184 (1970), pp. 172-187. Zbl0189.09702MR269874
  9. [9] W. Rudin, The radial variation of analytic functions, Duke Math. J., 22 (1955), pp. 235-242. Zbl0064.31105MR79093
  10. [10] K.T. Smith, Primer of Modern Analysis, Bogden and Quigley, Tarrytown-on-Hudson, 1971. Zbl0517.26001
  11. [11] E.L. Stout, Hp-functions on strictly pseudoconvex domains, Amer. J. Math., 98 (1976), pp. 821-852. Zbl0341.32013MR422685
  12. [12] N. Øvrelid, Integral representation formulas and Lp-estimates for the ∂-equation, Math. Scand., 29 (1971), pp. 137-160. Zbl0227.35069

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