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

Glasgow Mathematical Journal, 2018
AbstractWe establish the mapping properties of Fourier-type transforms on rearrangement-invariant quasi-Banach function spaces. In particular, we have the mapping properties of the Laplace transform, the Hankel transforms, the Kontorovich-Lebedev transform and some oscillatory integral operators.
KWOK-PUN HO
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Linear operators, Fourier integral operators and k-plane transforms on rearrangement-invariant quasi-Banach function spaces

Positivity, 2020
The main result of this paper concerns the mapping properties of linear operators on rearrangement-invariant quasi-Banach function spaces. It extends Boyd's interpolation theorem to the case where the linear operator \(T: L^p\rightarrow L^q\) is bounded with \(p\not= q\).
Kwok-Pun Ho
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Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces

Archiv Der Mathematik, 1996
Extending a recent example of Arendt, we study the semigroup \(T(t)f(s)= f(se^t)\) in rearrangement invariant Banach function spaces over \((1,\infty)\) and obtain various abstract conditions under which equality of spectral bound and growth bound fails.
J M A M van Neerven
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Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces

Acta Mathematica Hungarica, 2019
Rearrangement-invariant quasi-Banach function spaces (r.i.q. B.f.s) on \(\mathbb{R}^n\) are defined as quasi-normed spaces \(X\) that are rearrangement invariant with associated quasi-norm \(\rho_X\), defined on measurable functions on \([0,\infty)\), satisfying certain monotonicity conditions, and \(\Vert f\Vert_X=\rho_X(f^\ast)\) where \(f^\ast:[0 ...
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Rearrangement-Invariant Banach Function Spaces

Pure and Applied Mathematics, 1988
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Banach-valued weak martingale Hardy spaces on rearrangement-invariant quasi-Banach function lattice

Zeitschrift für Analysis und ihre Anwendungen
Let B be a Banach space and X a quasi-Banach function lattice. In this paper, we introduce the B
Congera Anaclet, Niyonkuru Silas, Hongli Tian   +2 more
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Martingale inequalities on rearrangement-invariant quasi-Banach function spaces

Acta Scientiarum Mathematicarum, 2017
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Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces

Acta Mathematica Sinica, English Series, 2023
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On smallest and largest spaces among rearrangement-invariant p-Banach function spaces (0

Indagationes Mathematicae, 1991
H Hudzik
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Note on linearity of rearrangement-invariant spaces

Annals of Functional Analysis, 2016
Filip Soudský
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