152494-Non-extendability of the finite Hilbert transform.pdf (158.7 kB)
Non-extendability of the finite Hilbert transform
journal contribution
posted on 2023-05-21, 12:12 authored by Curbera, GP, Susumu Okada, Ricker, WJThe finite Hilbert transform T:X -> X acts continuously on every rearrangement invariant space X on (-1,1) having non-trivial Boyd indices. It is proved that T cannot be further extended, whilst still taking its values in X, to any larger domain space. That is, T:X -> X is already optimally defined.
History
Publication title
Monatshefte fur MathematikVolume
195Issue
4Pagination
649-657ISSN
0026-9255Department/School
School of Natural SciencesPublisher
Springer-Verlag WienPlace of publication
Sachsenplatz 4-6, Po Box 89, Vienna, Austria, A-1201Rights statement
Copyright (2021) TheAuthor(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.Repository Status
- Open
