| Autor: |
Karapetyants, A., Lanza de Cristoforis, M. |
| Zdroj: |
Analysis Mathematica; Mar2023, Vol. 49 Issue 1, p151-166, 16p |
| Abstrakt: |
Let Ω be an open subset of ℝn of finite measure. Let f be a Borel measurable function from ℝ to ℝ. We prove necessary and sufficient conditions on f in order that the composite function Tf[g] = f o g belongs to the Grand Lebesgue space Lp),θ(Ω) whenever g belongs to Lp),θ(Ω). We also study continuity, uniform continuity, Hölder and Lipschitz continuity of the composition operator Tf[·] in Lp),θ(Ω). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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