Dirichlet problem for pluriholomorphic functions of two complex variables

Perotti, Alessandro (2006) Dirichlet problem for pluriholomorphic functions of two complex variables. UNSPECIFIED. (Unpublished)

[img]
Preview
 PDF
Download (163Kb) | Preview

    Abstract

    In this paper the Dirichlet problem for pluriholomorphic functions of two complex variables is investigated. The key point is the relation between pluriholomorphic functions and pluriharmonic functions. The link is constituted by the Fueter-regular functions of one quaternionic variable. Previous results about the boundary values of pluriharmonic functions and new results on L2 traces of regular functions are applied to obtain a characterization of the traces of pluriholomorphic functions. Mathematics Subject Classification (2000). Primary 32A30, secondary 31C10, 32W50, 30G35, 35J25

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: UNSPECIFIED
    Uncontrolled Keywords: pluriholomorphic functions, pluriharmonic functions, quaternionic regular functions
    Report Number: UTM 708, December 2006
    Repository staff approval on: 22 Jun 2007

    Actions (login required)

    		 View Item