Fatou's theorem for generalized halfplanes

A. Korányi; E. M. Stein

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1968)

  • Volume: 22, Issue: 1, page 107-112
  • ISSN: 0391-173X

How to cite

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Korányi, A., and Stein, E. M.. "Fatou's theorem for generalized halfplanes." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.1 (1968): 107-112. <http://eudml.org/doc/83447>.

@article{Korányi1968,
author = {Korányi, A., Stein, E. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {complex functions},
language = {eng},
number = {1},
pages = {107-112},
publisher = {Scuola normale superiore},
title = {Fatou's theorem for generalized halfplanes},
url = {http://eudml.org/doc/83447},
volume = {22},
year = {1968},
}

TY - JOUR
AU - Korányi, A.
AU - Stein, E. M.
TI - Fatou's theorem for generalized halfplanes
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1968
PB - Scuola normale superiore
VL - 22
IS - 1
SP - 107
EP - 112
LA - eng
KW - complex functions
UR - http://eudml.org/doc/83447
ER -

References

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  1. [1] R.E. Edwards and E. Hewitt, Pointwise limits for sequences of convolution operators, Acta Math.113 (1965), 181-218. Zbl0161.11104MR177259
  2. [2] A. Korányi, The Poisson integral for generalized halfplanes and bounded symmetric domains, Ann. of Math.82 (1965), 332-350. Zbl0138.06601MR200478
  3. [3] A. Korányi, Harmonic functions on Hermitian hyperbolic space, to appear in Trans. Amer. Math. Soc. Zbl0174.38801MR277747
  4. [4] E.M. Stein, Note on the boundary values of holomorphic functions, Ann. of Math.82 (1965), 351-353. Zbl0173.09004MR188485
  5. [5] E.M. Stein, Maximal functions and Fatou's theorem, C.I.M.E. Summer course on «Homugeneous bounded domains », Cremonese1967. 
  6. [6] N. Weiss, Almost everywhere convergecce of Poisson integrals on tube domains over cones, Trane. Amer. Math. Soc.129 (1967), 283-307. Zbl0152.27604MR222330
  7. [7] A. Zygmund, Trigonmetrie series, Cambridge University Press1959. Zbl0085.05601MR107776

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