Variation type characterization of product Hardy spaces
DOI10.1007/s13324-024-00869-3OpenAlexW4391561219MaRDI QIDQ6119296
Laura Angeloni, Elijah Liflyand, Gianluca Vinti
Publication date: 22 March 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-024-00869-3
Fourier transformHilbert transformbounded variationHardy inequalityRiesz transformproduct Hardy spacereal Hardy spaceHardy variationTonelli variation
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Conjugate functions, conjugate series, singular integrals (42A50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting
- Hardy spaces on the plane and double Fourier transforms.
- Functions of bounded variation and their Fourier transforms
- Real Hardy space, multidimensional variations, and integrability of the Fourier transform
- Commutation Relations, Normal Ordering, and Stirling Numbers
- Weak-star convergence in multiparameter Hardy spaces
- Multiple Fourier transforms and trigonometric series in line with Hardy’s variation
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
- Convergence in variation and a characterization of the absolute continuity
This page was built for publication: Variation type characterization of product Hardy spaces