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Approximation by uniform domains in doubling quasiconvex metric spaces

Authors: Rajala Tapio;

Approximation by uniform domains in doubling quasiconvex metric spaces

Abstract

AbstractWe show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.

Countries
Finland, Finland
Related Organizations
Keywords

Primary 30L99. Secondary 46E35, 26B30, ta111, Metric Geometry (math.MG), metriset avaruudet, Absolutely continuous real functions of several variables, functions of bounded variation, funktioteoria, quasiconvexity, Analysis on metric spaces, Mathematics - Metric Geometry, Sobolev extension, FOS: Mathematics, Matematiikka, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, funktionaalianalyysi, doubling quasiconvex metric spaces, uniform domain, Mathematics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
Green
gold