Continuity conditions for the Hilbert transform on quasi-Hilbert spaces
DOI:
https://doi.org/10.5644/SJM.10.1.14Keywords:
Banach space, Gâteaux-differentiable norm, generalized inner product, group of operators, Hilbert transformAbstract
We give necessary and sufficient conditions for the continuity of the Hilbert transform on complex quasi-Hilbert spaces, i.e. on complex, reflexive, strictly convex Banach spaces with Gâteaux-differentiable norm and with generalized inner product.
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References
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