Extensions of the vector-valued Hausdorff-Young inequalities
DOI10.1007/s00209-020-02675-6zbMath1480.46051arXiv1904.07930OpenAlexW3126820184MaRDI QIDQ2231138
Oscar Dominguez, Mark C. Veraar
Publication date: 29 September 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.07930
Banach spacePaley inequalityHardy-Littlewood inequalityHausdorff-Young inequalitylimiting interpolationZygmund inequalityFourier typePitt inequality(co)typeBochkarev inequalityvector-valued Fourier transform
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Spaces of vector- and operator-valued functions (46E40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Local theory of Banach spaces (46B07) Fourier series and coefficients in several variables (42B05)
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Cites Work
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- Pointwise convergence of vector-valued Fourier series
- Real interpolation with logarithmic functors.
- Operator-valued Fourier multiplier theorems on Triebel spaces
- On an extreme class of real interpolation spaces
- Sharp constants in the Hardy-Rellich inequalities
- Holomorphic semi-groups and the geometry of Banach spaces
- Inequalities in Fourier analysis
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces.
- The Fourier transform in weighted Lorentz spaces
- Weighted Fourier inequalities: New proofs and generalizations.
- Estimation of the Fourier coefficients of functions from Lorentz spaces
- Pitt inequalities and restriction theorems for the Fourier transform
- Fourier multiplier theorems involving type and cotype
- Stability theory for semigroups using \((L^{p},L^{q})\) Fourier multipliers
- The heat equation with rough boundary conditions and holomorphic functional calculus
- Limiting variants of Krasnosel'skiĭ's compact interpolation theorem
- Convolution operators and L(p, q) spaces
- Sur la transformation de Fourier des fonctions à valeurs vectorielles
- Martingales in Banach Spaces
- Analysis in Banach Spaces
- Pitt's inequality and the fractional Laplacian: Sharp error estimates
- Two-sided weighted Fourier inequalities
- Vector-valued Laplace Transforms and Cauchy Problems
- Sharp constants related to the triangle inequality in Lorentz spaces
- Interpolation of Linear Operators
- Recent developments in the theory of Lorentz spaces and weighted inequalities
- Modern Fourier Analysis
- Asymptotic behavior of 𝐶₀-semigroups in Banach spaces
- Theorems of Hardy and Paley for Vector-Valued Analytic Functions and Related Classes of Banach Spaces
- On the Fourier-Coefficients of Vector-Valued Functions
- On generalized Lorentz-Zygmund spaces
- Stability of C 0-semigroups and geometry of Banach spaces
- Real Interpolation with Logarithmic Functors and Reiteration
- Pitt's Inequalities and Uncertainty Principle for Generalized Fourier Transform
- Analysis in Banach Spaces
- Fourier embeddings and Mihlin‐type multiplier theorems
- Weighted Norm Estimates for the Fourier Transform with a Pair of Weights
- Pitt's Inequality and the Uncertainty Principle
- On the type constants with respect to systems of characters of a compact abelian group
- On the growth of vector-valued Fourier series
- History of Banach Spaces and Linear Operators
- Pitt's inequality with sharp convolution estimates
- Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
- Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
- Paley type inequalities for orthogonal series with vector-valued coefficients
- On weighted fractional integral inequalities
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