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On the boundedness of the mapping $f \to | f |$ in Besov spaces

Patrick Oswald — 1992

Commentationes Mathematicae Universitatis Carolinae

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

On a connectedness property of the complements of zeroneighbourhoods in topological vector spaces

Patrick Oswald — 1981

Commentationes Mathematicae Universitatis Carolinae

On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball

Patrick Oswald — 1985

Commentationes Mathematicae Universitatis Carolinae

On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc

Patrick Oswald — 1983

Czechoslovak Mathematical Journal

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Currently displaying 1 – 4 of 4

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

On a connectedness property of the complements of zeroneighbourhoods in topological vector spaces

On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball

On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc

On the boundedness of the mapping $f \to | f |$ in Besov spaces