منابع مشابه
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.
متن کاملRelatively 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 ...
متن کاملQuasimöbius 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
متن کاملLocally 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...
متن کاملStrongly Uniform Domains and Periodic Quasiconformal Maps
An m-uniform domain in R n is, roughly, a domain such that any two maps from the i-sphere, 0 i m < n, into the domain can be homotoped to each other without going too far or too close to the boundary, when seen from the perspective of the images of the two maps. We establish several equivalent deenitions for m-uniform domains. We apply the theory by investigating the structure of the complement...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1988
ISSN: 0040-8735
DOI: 10.2748/tmj/1178228081