FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES

DOI10.1017/S0017089518000186zbMath1440.42018OpenAlexW2809499330WikidataQ129652459 ScholiaQ129652459MaRDI QIDQ4559616

Kwok-Pun Ho

Publication date: 4 December 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089518000186

zbMATH Keywords

Lebesgue spacesinterpolation functor

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70) Interpolation in approximation theory (41A05) General integral transforms (44A05)

Related Items

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice, Toward an optimal theory of integration for functions taking values in quasi-Banach spaces, Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces, A generalization of Boyd's interpolation theorem, Hardy's inequalities and integral operators on Herz-Morrey spaces, Martingale transforms on Banach function spaces, Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces, Maximal Estimates of Schrödinger Equations on Rearrangement Invariant Sobolev Spaces, Dilation operators and integral operators on amalgam space \((L_p,l_q)\), Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces, Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces, Singular integral operators for rearrangement-invariant Morrey spaces on local fields

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