semi-global solutions of ∂¯b with lp (1 ≤ p ≤ ∞) bounds on strongly pseudoconvex real hypersurfaces in cn (n ≥ 3)
Chang, C. H. (Academia Sinica (Taiwan). Institute of Mathematics)
Lee, H. P. (Academia Sinica (Taiwan). Institute of Mathematics)

Date:	1999
Abstract:	Let M be an open subset ofa compact strongly pseudoconvex hypersurface {ρ = 0} defined by M = D × Cn−m ∩ {ρ = 0}, where 1 ≤ m ≤ n − 2, D = {σ(z1,. . . ,zm) < 0} ⊂ Cm is strongly pseudoconvex in Cm. For ∂¯ b closed (0, q) forms f on M, we prove the semi-global existence theorem for ∂¯ b if1 ≤ q ≤ n−m−2, or if q = n − m − 1 and f satisfies an additional "moment condition". Most importantly, the solution operator satisfies Lp estimates for 1 ≤ p ≤ ∞ with p = 1 and ∞ included.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 43 N. 2 (1999) , p. 535-570, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37970
DOI: 10.5565/PUBLMAT_43299_05

36 p, 313.7 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles