Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 5 (2006) no. 1, p. 21-37

The Hartogs Theorem for holomorphic functions is generalized in two settings: a CR version (Theorem 1.2) and a corresponding theorem based on it for ${C}^{k}$ $\overline{\partial }$-closed forms at the critical degree, $0\le k\le \infty$ (Theorem 1.1). Part of Frenkel’s lemma in ${C}^{k}$ category is also proved.

Classification:  32A26,  32W10
@article{ASNSP_2006_5_5_1_21_0,
author = {Chang, Chin-Huei and Lee, Hsuan-Pei},
title = {Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 5},
number = {1},
year = {2006},
pages = {21-37},
zbl = {1170.32303},
mrnumber = {2240164},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2006_5_5_1_21_0}
}

Chang, Chin-Huei; Lee, Hsuan-Pei. Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 5 (2006) no. 1, pp. 21-37. http://www.numdam.org/item/ASNSP_2006_5_5_1_21_0/

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