Abstract

We give a simple proof of a reverse convolution-inequality of two characteristic functions on ℝ and their rearrangements and derive related inequalities for functions of several variables.

Author information

Contact details are reproduced from the original publication and may be historical.

Friedemann Brock

Institut für Mathematik, Universität Leipzig, Augustusplatz 9-10, D-04109 Leipzig, Germany.

Keywords

  • Convolution
  • rearrangement

References

  1. B. Kawohl : Rearrangements and Convexity of Level Sets in PDE, Springer Lecture Notes in Math. 1150 (1985).https://doi.org/10.1007/BFb0075060Google Scholar

Suggested citation

F. Brock. “A Reverse Convolution-Inequality.” Journal of Convex Analysis 1 (1994), No. 2, 259–264. https://doi.org/10.68381/jca01017

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Published by Heldermann Verlag, 1994. Rights now held by Banach Press LLC.