The Fourier transform on rearrangement-invariant spaces
DOI10.1007/S00041-024-10101-2zbMATH Open1546.42012MaRDI QIDQ6596530
Rama Rawat, R. Kerman, Rajesh K. Singh
Publication date: 2 September 2024
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
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 (42B10) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The \(K\)-functional for \(p\)-convexifications
- Weighted Fourier inequalities in Lebesgue and Lorentz spaces
- Weighted norm inequalities for averaging operators of monotone functions
- Banach function spaces and interpolation methods. I: The abstract theory
- The Fourier transform in weighted Lorentz spaces
- Weighted Fourier inequalities: New proofs and generalizations.
- Weighted Fourier inequalities via rearrangements
- Orlicz-Lorentz gauge functional inequalities for positive integral operators
- On functions and measures whose Fourier transforms are functions
- Spaces \(\Lambda_\alpha\)(X) and interpolation
- Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
- Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
- On Maximal Rearrangement Inequalities for the Fourier Transform
- Weighted Norm Inequalities for the Fourier Transform
- Weighted $L_{Φ}$ integral inequalities for operators of Hardy type
- Indices of Function Spaces and their Relationship to Interpolation
- Interpolation of Quasi-Normed Spaces.
- Inequalities for Fourier transforms
- Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )
This page was built for publication: The Fourier transform on rearrangement-invariant spaces
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596530)