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Composition operators between the Hardy space Hp and the Bergman spaces Lqa
International Journal of Statistics and Applied Mathematics · 2024 · Vol. 9(2) · pp. 124–130
Rikio Yoneda✉(Kanazawa University)
Abstract
We study composition operators Cφ between the Hardy space Hp and the Bergman spaces Lqa, between the Besov type space Bp, p-1 and the Bergman spaces Lqa. Using the main results in this paper, as a result, we can also prove the following: If 0 < q ≤ p, then Cφ: Hp →Lqa is bounded, while there is no symbol φ such that it is bounded below.
Holomorphic and Operator TheoryAdvanced Harmonic Analysis ResearchAlgebraic and Geometric AnalysisHardy spaceBergman spaceBergman kernelSpace (punctuation)MathematicsComposition (language)Pure mathematicsMathematical analysisComputer scienceLinguistics
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