Weighted Koppelman formulas and the (partial derivative)over-bar-equation on an analytic space
Journal article, 2011
Let X be an analytic space of pure dimension. We introduce a formalism to generate intrinsic weighted Koppelman formulas on X that provide solutions to the (partial derivative) over bar -equation. We obtain new existence results for the (partial derivative) over bar -equation, as well as new proofs of various known results. (C) 2011 Elsevier Inc. All rights reserved.
hartogs extension theorem
residue currents
(partial derivative)over-bar-Equation
singularities
Analytic space
varieties
(n-1)-complete complex-spaces
integral-representation
isolated
Author
Mats Andersson
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Håkan Samuelsson Kalm
University of Oslo
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 261 3 777-802Subject Categories
Mathematics
DOI
10.1016/j.jfa.2011.02.018