A new technique of integral representations in C-n

Citation
Zy. Yao et al., A new technique of integral representations in C-n, SCI CHINA A, 44(10), 2001, pp. 1284-1293
Citations number
8
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
44
Issue
10
Year of publication
2001
Pages
1284 - 1293
Database
ISI
SICI code
1001-6511(200110)44:10<1284:ANTOIR>2.0.ZU;2-N
Abstract
A new technique of integral representations in C-n, which is different from the well-known Henkin technique, is given. By means of this new technique, a new integral formula for smooth functions and a new integral representat ion of solutions of the partial derivative -equations on strictly pseudocon vex domains in C-n are obtained. These new formulas are simpler than the cl assical ones, especially the solutions of the partial derivative -equations admit simple uniform estimates. Moreover, this new technique can be furthe r applied to arbitrary bounded domains in C-n So that all corresponding for mulas are simplified.