Type: Article
Publication Date: 2022-01-01
Citations: 0
DOI: https://doi.org/10.7153/mia-2022-25-10
We investigate the permissible growth rates of functions that are distributionally chaotic with respect to differentiation operators.We improve on the known growth estimates for Ddistributionally chaotic entire functions, where growth is in terms of average L p -norms on spheres of radius r > 0 as r → ∞ , for 1 p ∞ .We compute growth estimates of ∂ /∂ x kdistributionally chaotic harmonic functions in terms of the average L 2 -norm on spheres of radius r > 0 as r → ∞ .We also calculate sup-norm growth estimates of distributionally chaotic harmonic functions in the case of the partial differentiation operators D α .
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