Elimination of L 1 singularities on Hölder peak sets for C R functions

A. M. Kytmanov; C. Rea

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 2, page 211-226
  • ISSN: 0391-173X

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Kytmanov, A. M., and Rea, C.. "Elimination of $L^1$ singularities on Hölder peak sets for $CR$ functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1995): 211-226. <http://eudml.org/doc/84203>.

@article{Kytmanov1995,
author = {Kytmanov, A. M., Rea, C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {CR functions; elimination of singularities},
language = {eng},
number = {2},
pages = {211-226},
publisher = {Scuola normale superiore},
title = {Elimination of $L^1$ singularities on Hölder peak sets for $CR$ functions},
url = {http://eudml.org/doc/84203},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Kytmanov, A. M.
AU - Rea, C.
TI - Elimination of $L^1$ singularities on Hölder peak sets for $CR$ functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 211
EP - 226
LA - eng
KW - CR functions; elimination of singularities
UR - http://eudml.org/doc/84203
ER -

References

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  2. [2] A. Bogges - J.C. Polking, Holomorphic extension of CR-functions, Duke Math. J.49 (1982), 757-784. Zbl0506.32003MR683002
  3. [3] J.B. Garnett, Bounded analytic functions. Academic Press, 1981. Zbl0469.30024MR628971
  4. [4] R. Harvey - J.C. Polking, Removable singularities of solutions of linear partial differential equations, Acta Math.125 (1970), 39-76. Zbl0214.10001MR279461
  5. [5] G.M. Henkin, The method of integral representations in complex analysis. Itogi Nauki i Tekhniki Sovremennye Problemy Mat.: Fundamentalnye Napravlenya, vol. 7, VINITI, Moscow (1985), 23-124. Zbl0781.32007MR850491
  6. English transl. in Encyclopedia of Math. Sci., vol. 7 (Several Complex variables, I) Springer Verlag, 1990. 
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  9. [8] P. Koosis, Introduction to Hp Spaces. London Mathematical Society, Lecture Note Series40, 1980. Zbl0435.30001MR565451
  10. [9] A.M. Kytmanov, On the removal of singularities of integrable CR-functions, Math. Sbomik, 136 (178) (1988). Transl. Math. USSR-Sbomik64 (1989), 177-185. Zbl0668.32014MR954923
  11. [10] H.P. Lee - J. Wermer, Orthogonal measures for subsets of the boundary of the ball in C 2. Recent developments in several complex variables, Proc. Conf., Princeton Univ., 1979; Ann. Math. Stud.100 (1981), 277-289. Zbl0477.32027MR627763
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  13. [12] T. Nagano, Linear differential systems with singularities and an application to transitive Lie algebras. J. Math. Soc. Japan, 18 (1966), 398-404. Zbl0147.23502MR199865
  14. [13] J.P. Rosay - E.L. Stout, Rado's theorem for CR-functions, Proc. Amer. Math. Soc.106, (1989), 1017-1026. Zbl0674.32007MR964461
  15. [14] E.L. Stout, Removable singularities for the boundary values of holomorphic functions, Proc. of the Mittag-Leffler Institute, 1987-1988; Princeton Univ. Press, Princeton, N.J., (1993), 600-629. Zbl0772.32011MR1207885
  16. [15] A.E. Tumanov, Extension of CR functions into a wedge from a manifold of finite type, Math. Sbornik136 (178), (1988) n. 1, 129-140. Zbl0692.58005MR945904
  17. [16] A.E. Tumanov, Extension of CR functions into a wedge, Math. Sbornik181 (1990) n. 7, 951-964. Zbl0714.32005MR1070489

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