Local Peak Sets in Weakly Pseudoconvex Boundaries in
- [1] LMPA, Centre Universitaire de la Mi-Voix. Bât H. Poincaré, 50 rue F. Buisson, B.P. 699, F-62228 Calais Cédex, France.
Annales de la faculté des sciences de Toulouse Mathématiques (2009)
- Volume: 18, Issue: 3, page 577-598
- ISSN: 0240-2963
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topHalouani, Borhen. "Local Peak Sets in Weakly Pseudoconvex Boundaries in $\mathbb{C}^n$." Annales de la faculté des sciences de Toulouse Mathématiques 18.3 (2009): 577-598. <http://eudml.org/doc/10118>.
@article{Halouani2009,
abstract = {We give a sufficient condition for a $C^\omega $ (resp. $C^\infty $)-totally real, complex-tangential, $(n-1)$-dimensional submanifold in a weakly pseudoconvex boundary of class $C^\omega $ (resp. $C^\infty $) to be a local peak set for the class $\mathcal\{O\}$ (resp. $A^\infty $). Moreover, we give a consequence of it for Catlin’s multitype.},
affiliation = {LMPA, Centre Universitaire de la Mi-Voix. Bât H. Poincaré, 50 rue F. Buisson, B.P. 699, F-62228 Calais Cédex, France.},
author = {Halouani, Borhen},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
language = {eng},
month = {7},
number = {3},
pages = {577-598},
publisher = {Université Paul Sabatier, Toulouse},
title = {Local Peak Sets in Weakly Pseudoconvex Boundaries in $\mathbb\{C\}^n$},
url = {http://eudml.org/doc/10118},
volume = {18},
year = {2009},
}
TY - JOUR
AU - Halouani, Borhen
TI - Local Peak Sets in Weakly Pseudoconvex Boundaries in $\mathbb{C}^n$
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2009/7//
PB - Université Paul Sabatier, Toulouse
VL - 18
IS - 3
SP - 577
EP - 598
AB - We give a sufficient condition for a $C^\omega $ (resp. $C^\infty $)-totally real, complex-tangential, $(n-1)$-dimensional submanifold in a weakly pseudoconvex boundary of class $C^\omega $ (resp. $C^\infty $) to be a local peak set for the class $\mathcal{O}$ (resp. $A^\infty $). Moreover, we give a consequence of it for Catlin’s multitype.
LA - eng
UR - http://eudml.org/doc/10118
ER -
References
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