On the theory of hyper-Q-homeomorphisms

We show that if a homeomorphism f of a domain , n ≥ 2, is a hyper- Q -homeomorphism with Q ∈ L loc 1 , then f ∈ ACL . As a consequence, this homeomorphism has partial derivatives and an approximation differential almost everywhere.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2010-08, Vol.62 (1), p.155-161
Main Author: Kovtonyuk, D. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Citations: Items that this one cites
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Description
Summary:We show that if a homeomorphism f of a domain , n ≥ 2, is a hyper- Q -homeomorphism with Q ∈ L loc 1 , then f ∈ ACL . As a consequence, this homeomorphism has partial derivatives and an approximation differential almost everywhere.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-010-0340-8