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On the boundedness of the mapping f | f | in Besov spaces

Patrick Oswald — 1992

Commentationes Mathematicae Universitatis Carolinae

For 1 p , precise conditions on the parameters are given under which the particular superposition operator T : f | f | is a bounded map in the Besov space B p , q s ( R 1 ) . The proofs rely on linear spline approximation theory.

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