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- W1969451315 abstract "We characterize the set of all functions f of R to itself such that the associated superposition operator Tf: g ? f o g maps the class BVp1(R) into itself. Here BVp1(R), 1 = p < 8, 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 Bp,qs are discussed." @default.
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- W1969451315 date "2006-01-01" @default.
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- W1969451315 title "Superposition operators and functions of bounded p-variation" @default.
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