6533b828fe1ef96bd12882dc
RESEARCH PRODUCT
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces
Pekka KoskelaStanislav Henclsubject
CombinatoricsGeneral MathematicsBounded functionMathematical analysisComposition (combinatorics)Value (mathematics)Mathematicsdescription
Let α > 0 and p ∈ [1, ∞) satisfy αp ≤ n. Suppose that f: Rn Rn is a K-quasiconformal mapping and let u ∈ Wα, p(Rn) have compact support. We find an optimal value of β = β(α, K, n) such that u○f ∈ Wβ, p(Rn). We also give an answer to the analogous problem where we moreover assume that u is bounded.
year | journal | country | edition | language |
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2012-05-02 | Mathematische Nachrichten |