Peter Massopust
Abstract
We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.
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We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.
Key concepts: Lp space, Mathematics, Banach space, Interpolation space, Banach manifold, Sobolev space, Fractal, Pure mathematics