# Poisson equation and discrete one-sided Hilbert transform for $(C,\alpha)$-bounded operators

24 Feb 2020 Abadias Luciano Galé José E. Lizama Carlos

We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Ces\`aro bounded operators of fractional order. The results obtained fairly generalize the corresponding ones for power-bounded operators... (read more)

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• FUNCTIONAL ANALYSIS