Definitions for uniform domains

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Uniform Domains and Capacity

We characterize the class of uniform domains in terms of capacity. As a byproduct of this investigation we provide results describing when a Loewner domain will be QED.

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A Uniform Framework for Concept Definitions in Description Logics

Most modern formalisms used in Databases and Artiicial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the possibility of deening a class, i.e., providing a set of properties that precisely characterize the instances of the class. Many recent articles point out that the...

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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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Quasimöbius maps preserve uniform domains

We show that if a domain Ω in a geodesic metric space is quasimöbius to a uniform domain in some metric space, then Ω is also uniform. Mathematics Subject Classification (2000). 30C65

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Locally Uniform Domains and Quasiconformal Mappings

We document various properties of the classes of locally uniform and weakly linearly locally connected domains. We describe the boundary behavior for quasiconformal ho-meomorphisms of these domains and exhibit certain metric conditions satissed by such maps. We characterize the quasiconformal homeomorphisms from locally uniform domains onto uniform domains. We furnish conditions which ensure th...

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ژورنال

عنوان ژورنال: Annales Academiae Scientiarum Fennicae Sries A I Mathematica

سال: 1980

ISSN: 0066-1953

DOI: 10.5186/aasfm.1980.0517