A Parametric Version of Forstnerič’s Splitting Lemma
Journal article, Peer reviewed
Accepted version
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Date
2018Metadata
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- Institutt for matematiske fag [2354]
- Publikasjoner fra CRIStin - NTNU [37247]
Abstract
We construct solution operators to the \overline{\partial }-equation that depend continuously on the domain. This is applied to derive a parametric version of Forstnerič’s splitting lemma: If both the maps and the domains on which they are defined vary continuously with a parameter, then the maps obtained from Forstnerič’s splitting will depend continuously on the parameter as well.