Families of Strictly Pseudoconvex Domains and Peak Functions |
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| Authors: | Arkadiusz Lewandowski |
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| Institution: | 1.Faculty of Mathematics and Computer Science, Institute of Mathematics,Jagiellonian University,Kraków,Poland |
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| Abstract: | We prove that given a family \((G_t)\) of strictly pseudoconvex domains varying in \(\mathcal {C}^2\) topology on domains, there exists a continuously varying family of peak functions \(h_{t,\zeta }\) for all \(G_t\) at every \(\zeta \in \partial G_t\). |
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