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.
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Simon, L. A Parametric Version of Forstnerič’s Splitting Lemma. J Geom Anal 29, 2124–2146 (2019). https://doi.org/10.1007/s12220-018-0073-8
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DOI: https://doi.org/10.1007/s12220-018-0073-8