LECTURES ON LIPSCHITZ ANALYSIS

• cours magistral - matière potentielle : on lipschitz analysis
• cours magistral
• cours magistral - matière potentielle : on lipschitz analysis juha heinonen
• cours - matière potentielle : on real analysis
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LECTURES ON LIPSCHITZ ANALYSIS JUHA HEINONEN 1. Introduction A function f : A→ Rm, A ⊂ Rn, is said to be L-Lipschitz, L ≥ 0, if (1.1) |f(a) − f(b)| ≤ L |a− b| for every pair of points a, b ∈ A. We also say that a function is Lipschitz if it is L-Lipschitz for some L. The Lipschitz condition as given in (1.1) is a purely metric condi- tion; it makes sense for functions from one metric space to another.

• euclidean spaces
• lipschitz function
• lipschitz with respect to the intrinsic distance
• arbitrary collection of closed balls
• curve of finite length
• intrinsic geodesic if length
• lipschitz
• length
• curve
• rm