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Fine spectra of the finite Hilbert transform in function spaces
We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over (-1, 1) with non-trivial Boyd indices, thereby extending Widom's results for L-p spaces. In the case when these indices coincide, a full description of the spectrum and fine spectra is given. (C) 2021 Elsevier Inc. All rights reserved.
Publication titleAdvances in Mathematics
Department/SchoolSchool of Natural Sciences
Place of publicationUnited Kingdom
Rights statement© 2021 Elsevier Inc. All rights reserved.