Quasisymmetry, measure and a question of Heinonen | Zendy

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Quasisymmetry, measure and a question of Heinonen

Author(s) -

Stephen Semmes

Publication year - 1996

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/213

Subject(s) - mathematics , measure (data warehouse) , extension (predicate logic) , euclidean geometry , absolute (philosophy) , metric space , metric (unit) , discrete mathematics , calculus (dental) , combinatorics , pure mathematics , algebra over a field , computer science , epistemology , data mining , geometry , medicine , philosophy , operations management , programming language , economics , dentistry

In this paper we resolve in the affirmative a question of Heinonen on the absolute continuity of quasisymmetric mappings defined on subsets of Euclidean spaces. The main ingredients in the proof are extension results for quasisymmetric mappings and metric doubling measures.

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