Open AccessA sharpness result for powers of Besov functions
Author(s) -
Gérard Bourdaud
Publication year - 2004
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2004/823103
Subject(s) - mathematics , besov space , pure mathematics , interpolation space , biochemistry , chemistry , functional analysis , gene
A recent result of Kateb asserts that f∈Bp,qs(ℝn) implies |f|μ∈Bp,qs(ℝn) as soon as the following three conditions hold: (1) 0≺s≺μ+(1/p), (2) f is bounded, (3) μ≻1. By means of counterexamples, we prove that those conditions are optimal
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