Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

Abstract

Using characteristic functions of polyhedra, we construct radial p-multipliers which are continuous over $ℝ^n$ but not continuously differentiable through $S^{n-1}$ and give a p-multiplier criterion for homogeneous functions over $ℝ^2$. We also exhibit fractal p-multipliers over the real line.