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Browse Graduate Dissertations and Theses at Illinois by Subject "s-John domain"
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Analysis in the Heisenberg group: weak s-John domains and the dimensions of graphs of Holder functions (2011-08-26)In this thesis, we provide connections between analytic properties in Euclidean R^n and analytic properties in sub-Riemannian Carnot groups. We introduce weak s-John domains, in analogy with weak John domains, and we prove ...