The finite Hilbert transform acting in rearrangement invariant spaces on \((-1,1)\)

DOI10.1007/978-3-031-62894-8_6MaRDI QIDQ6611671

Werner J. Ricker, Guillermo P. Curbera, Susumu Okada

Publication date: 27 September 2024

zbMATH Keywords

spectrumrearrangement invariant spacefinite Hilbert transformairfoil equationZygmund space \(L \log L\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Vector-valued set functions, measures and integrals (28B05) (Semi-) Fredholm operators; index theories (47A53) Kernel operators (47B34)

Cites Work

• Variations on Yano's extrapolation theorem
• One-dimensional linear singular integral equations. I. Introduction. Transl. from the German by Bernd Luderer and Steffen Roch
• Fine spectra of the finite Hilbert transform in function spaces
• Inversion and extension of the finite Hilbert transform on \((-1,1)\)
• On the p-norm of the truncated Hilbert transform
• Singular Integral Equations In L p
• Repeated Singular Integrals
• The Finite Hilbert Transform in ℒ2
• Measure theoretic aspects of the finite Hilbert transform
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