We develop a partitioning lemma (see Lemma 5) for superadditive set functions satisfying certain continuity conditions. This leads to a relatively simple proof of two theorems of A. S. Besicovitch on ...
Let A be a finite-dimensional commutative algebra over R and let Cr A(U), Cω (U, A) and OA(U) be the ring of A-differentiable functions of class Cr, 0 ≤ r ≤ ∞, the ring of real analytic mappings with ...
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