Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\)
DOI10.1016/j.jfa.2022.109776OpenAlexW4309825870MaRDI QIDQ2108021
M. I. D'yachenko, Ferenc Weisz, E. D. Nursultanov, Sergey Yu. Tikhonov
Publication date: 19 December 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.02504
Fourier transformHardy-Littlewood theoremproduct Hardy spacesHardy-Cesàro operatorsHardy-Bellman operators
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)
Cites Work
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- Weighted Fourier inequalities: Boas' conjecture in \({\mathbb{R}}^{n}\)
- Multidimensional rearrangement and Lorentz spaces
- Net spaces and boundedness of integral operators
- Mixed norm and multidimensional Lorentz spaces
- An \(H^ 1\) multiplier theorem
- Absolute summability of Walsh-Fourier series
- Weighted Fourier inequalities: New proofs and generalizations.
- Hardy-type theorems on Fourier transforms revised
- Pitt inequalities and restriction theorems for the Fourier transform
- Application of interpolational methods to the study of properties of functions of several variables
- Convergence and summability of Fourier transforms and Hardy spaces
- On Laplace-Carleson embeddings, and \(L^p\)-mapping properties of the Fourier transform
- Mean oscillations and equimeasurable rearrangements of functions
- \(H^p\) spaces of several variables
- Fourier transform of anisotropic Hardy spaces
- On Fournier-Gagliardo mixed norm spaces
- Boundedness of the Hausdorff operators in Hpspaces, 0<p<1
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- Inequalities relative to two-parameter Vilenkin-Fourier coefficients
- Integrability and continuity of functions represented by trigonometric series: coefficients criteria
- Calderón-Zygmund theory for product domains: H p spaces
- A Note on Real Interpolation of Hardy Spaces in the Polydisk
- Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
- Net spaces and inequalities of Hardy-Littlewood type
- Boundedness of the Hardy and the Hardy-Littlewood operators in the spaces $ \operatorname {Re}H^1$ and BMO
- On the coefficients of multiple Fourier series in $ L_p$-spaces
- Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
- THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES
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