A Parametric Version of Forstnerič’s Splitting Lemma
Journal article, Peer reviewed
Accepted version
![Thumbnail](/ntnu-xmlui/bitstream/handle/11250/2592331/A%2bParameter%2bVersion%2bof%2bForstneric%25CC%258C%2527s%2bSplitting%2bLemma.pdf.jpg?sequence=5&isAllowed=y)
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http://hdl.handle.net/11250/2592331Utgivelsesdato
2018Metadata
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- Institutt for matematiske fag [2451]
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Sammendrag
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.