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Invariance Properties of Lϕ(μ)-Averaging Domains under Some Mappings

✍ Scribed by Gejun Bao; Shusen Ding

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 95 KB
Volume: 259
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7446

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✦ Synopsis

In this paper we first show that L -averaging domains are invariant under some mappings, such as K-quasi-isometries and ⌽-quasi-isometries. Then we prove Ž . that John domains are L -averaging domains for any satisfying the condi-Ž . tions in the definition of L -averaging domains.