Weighted Fourier inequalities in Lebesgue and Lorentz spaces
DOI10.1007/s00041-020-09764-4zbMath1439.42011OpenAlexW3036994112MaRDI QIDQ785674
E. D. Nursultanov, Sergey Yu. Tikhonov
Publication date: 7 August 2020
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2072/445779
weightsFourier transformsrearrangementsintegral operatorsHardy inequalitiesHörmander-type conditionsLebesgue and Lorentz spaces
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Net spaces and boundedness of integral operators
- Convolution inequalities in Lorentz spaces
- Estimates for translation invariant operators in \(L^p\) spaces
- On the search for weighted norm inequalities for the Fourier transform
- A Fourier inequality with \(A_ p\) and weak-\(L^ 1\) weight
- The Fourier transform in weighted Lorentz spaces
- Weighted Fourier inequalities: New proofs and generalizations.
- Pitt inequalities and restriction theorems for the Fourier transform
- Weighted Fourier inequalities via rearrangements
- Weighted norm inequalities for convolution and Riesz potential
- Reduction theorems for weighted integral inequalities on the cone of monotone functions
- Interpolation of Linear Operators
- Estimates for Operators in Mixed Weighted L p -Spaces
- Weighted Norm Inequalities for the Fourier Transform
- A Note on Two Weight Function Conditions for a Fourier Transform Norm Inequality
- Weighted norm inequalities for integral transforms
- Classical Fourier Analysis
- Weak-Type Boundedness of the Fourier Transform on Rearrangement Invariant Function Spaces
- Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
- Inequalities for Fourier transforms
- Bounds for a class of quasilinear integral operators on the set of non-negative and non-negative monotone functions
This page was built for publication: Weighted Fourier inequalities in Lebesgue and Lorentz spaces