@article{AFST_2000_6_9_3_415_0, author = {Hefer, Torsten and Lieb, Ingo}, title = {On the compactness of the $\bar{\partial }${-Neumann} operator}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {415--432}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 9}, number = {3}, year = {2000}, zbl = {1017.32025}, language = {en}, url = {http://archive.numdam.org/item/AFST_2000_6_9_3_415_0/} }
TY - JOUR AU - Hefer, Torsten AU - Lieb, Ingo TI - On the compactness of the $\bar{\partial }$-Neumann operator JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2000 SP - 415 EP - 432 VL - 9 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://archive.numdam.org/item/AFST_2000_6_9_3_415_0/ LA - en ID - AFST_2000_6_9_3_415_0 ER -
%0 Journal Article %A Hefer, Torsten %A Lieb, Ingo %T On the compactness of the $\bar{\partial }$-Neumann operator %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2000 %P 415-432 %V 9 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://archive.numdam.org/item/AFST_2000_6_9_3_415_0/ %G en %F AFST_2000_6_9_3_415_0
Hefer, Torsten; Lieb, Ingo. On the compactness of the $\bar{\partial }$-Neumann operator. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 9 (2000) no. 3, pp. 415-432. http://archive.numdam.org/item/AFST_2000_6_9_3_415_0/
[1] Support Functions for Convex Domains of Finite Type, Math. Z. 230, 145-164 (1999). | MR | Zbl
), ). -[2] Hölder Estimates on Convex Domains of Finite Type, Math. Z. 232, 43-61 (1999). | MR | Zbl
), ), ). -[3] Lp estimates on convex domains of finite type, to appear in Math. Z. (1999). | MR | Zbl
). -[4] The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, New Jersey, 1972. | MR | Zbl
), ). -[5] Compactness of the ∂-Neumann problem on convex domains, J. Funct. Anal. 159, 629-641 (1998). | MR | Zbl
), ). -[6] Compactness in the ∂-Neumann problem, Preprint (1999). | MR | Zbl
), ). -[7] Hölder and Lp estimates for convex domains of finite type depending on Catlin's multitype, to appear in Math. Z. (2000). | MR | Zbl
). -[8] Compactness of the Neumann operator on uniformly strongly q-convex domains, Preprint (1999).
), ), ). -[9] Compactness of the Neumann operator for hyper-convex domains with nonsmooth B-regular boundary, Math. Ann. 307, 151-168 (1997). | MR | Zbl
), ). -[10] Estimations sous-elliptique pour le problème ∂-Neumann dans un domaine strictement pseudoconvexe à frontière lisse par morceaux, C. R. Acad. Sci.Paris Ser. I 323, 17-22 (1996). | MR | Zbl
), ), ). -[11] ∂-problem on weakly q-convex domains, Math. Ann. 290, 3-18 (1991). | MR | Zbl
). -[12] L2-estimates and existence theorems for the ∂-operator, Acta Math. 113, 89-152 (1965). | MR | Zbl
). -[13] Hölder and Lp estimates for solutions to the ∂-equation in strongly pseudoconvex domains, Comm. Pure Appl. Math. 24(3), 301-379 (1971). | MR | Zbl
). -[14] Compactness of the ∂-Neumann operator, Proc. A. M. S. 103(4), 1136-1138 (1988). | MR | Zbl
). -[15] Hölder and Lp estimates for the ∂-equation on non-smooth strictly q-convex domains, Manuscr. Math. 74, 177-193 (1992). | MR | Zbl
). -[16] Lp estimates for the ∂-equation on q-convex intersections in Cn, Preprint (1999).
), ). -[17] Der Neumannoperator auf streng pseudokonkaven Gebieten und andere Anwendungen der Integralformelmethode, Bonner Mathematische Schriften 238 (1992). | MR | Zbl
). -[18] Subelliptic estimates for the ∂-Neumann operator on piecewise smooth strictly pseudoconvex domains, Duke Math. J. 93, 115-128 (1998). | MR | Zbl
), ). -[19] Kompaktheit des ∂-Nenmannoperators auf Durchschnitten q-konvexer Gebiete, Diplomarbeit, Universität Bonn, 2000.
). -[20] On the extension of L2 holomorphic functions, Math. Z. 195(2), 197-204 (1987). | MR | Zbl
), ). -[21] The ∂-Neumann operator on the unit ball in Cn, Math. Ann. 266 (1984), 449-456. | MR | Zbl
). -[22] Holomorphic Functions and Integral Representations in Several Complex Variables, Second printing, Springer-Verlag, New York, 1998. | MR
). -[23] Functional Analysis, Second Edition, McGraw-Hill, New York, 1991. | MR | Zbl
). -[24] Solution of the ∂-equation with uniform estimates on strictly q-convex domains with non-smooth boundary, Math. Z. 202, 409-430 (1989). | MR | Zbl
). -[25] The ∂-Neumann operator on certain piecewise smooth domains in Cn, Preprint (1999)
). -