Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616384 | Journal of Mathematical Analysis and Applications | 2014 | 6 Pages |
Abstract
Let Ω be a bounded pseudoconvex domain in Cn,nâ¥2,0â¤pâ¤n, and 1â¤qâ¤nâ1. We show that compactness of the â¯-Neumann operator, Np,q+1, on square integrable (p,q+1)-forms is equivalent to compactness of the commutators [Pp,q,z¯j] on square integrable â¯-closed (p,q)-forms for 1â¤jâ¤n where Pp,q is the Bergman projection on (p,q)-forms. We also show that compactness of the commutator of the Bergman projection with bounded functions percolates up in the â¯-complex on â¯-closed forms and square integrable holomorphic forms.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mehmet ÃeliÌk, Sönmez ÅahutoÄlu,