Generalized Hankel Conjugate Transformations on Rearrangement Invariant Spaces

DOI10.2307/1998928zbMath0319.46019OpenAlexW4232061216MaRDI QIDQ4081831

R. A. Kerman

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1998928

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)

Related Items (3)

FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES ⋮ Calderón-Zygmund operators in the Bessel setting for all possible type indices ⋮ Higher order Riesz transforms associated with Bessel operators

Cites Work

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• A Hausdorff-Young theorem for rearrangement-invariant spaces
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Indices of Function Spaces and their Relationship to Interpolation
• On the Ranges of Certain Fractional Integrals
• Norm Inequalities for Ultraspherical and Hankel Conjugate Functions
• The Hilbert transform and rearrangement of functions

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