Relatively and inner uniform domains

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Relatively and Inner Uniform Domains

We generalize the concept of a uniform domain in Banach spaces into two directions. (1) The ordinary metric d of a domain is replaced by a metric e ≥ d, in particular, by the inner metric of the domain. (2) The uniformity condition is supposed to hold only for certain pairs of points of the domain. We consider neargeodesics and solid arcs in these domains. Applications to the boundary behavior ...

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ژورنال

عنوان ژورنال: Conformal Geometry and Dynamics of the American Mathematical Society

سال: 1998

ISSN: 1088-4173

DOI: 10.1090/s1088-4173-98-00022-8