Regularity of the symbolic calculus in Besov algebras
The large deformation of nonlinearly elastic shells in axisymmetric flows
Superposition operators and functions of bounded p-variation.
We characterize the set of all functions f of R to itself such that the associated superposition operator T: g → f º g maps the class BV (R) into itself. Here BV (R), 1 ≤ p < ∞, denotes the set of primitives of functions of bounded p-variation, endowed with a suitable norm. It turns out that such an operator is always bounded and sublinear. Also, consequences for the boundedness of superposition operators defined on Besov spaces B are discussed....
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