Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
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Publication:5873935
DOI10.1142/S0219530521500135OpenAlexW3170560169MaRDI QIDQ5873935
Ferenc Weisz, Wen Yuan, Long Huang, Da Chun Yang
Publication date: 10 February 2023
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530521500135
Fourier transformLebesgue pointmixed-norm Lebesgue space\( \theta \)-meanmixed centered (strong) Hardy-Littlewood maximal operatormixed-norm homogeneous Herz space
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)
Related Items (10)
Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis ⋮ Boundedness of Calderón-Zygmund operators on ball Campanato-type function spaces ⋮ Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications ⋮ Generalization of Hardy–Littlewood maximal inequality with variable exponent ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ The Musielak-Orlicz Herz spaces ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ Fourier transform of anisotropic mixed-norm Hardy spaces ⋮ Interpolations of mixed-norm function spaces
Cites Work
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- Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms
- Pointwise convergence in Pringsheim's sense of the summability of Fourier transforms on Wiener amalgam spaces
- Summability of Gabor expansions and Hardy spaces
- Weights, extrapolation and the theory of Rubio de Francia.
- Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
- Estimates for translation invariant operators in \(L^p\) spaces
- The spaces \(L^ p\), with mixed norm
- Lebesgue points of two-dimensional Fourier transforms and strong summability
- The continuity of commutators on Herz-type spaces
- Anisotropic mixed-norm Hardy spaces
- Convergence and summability of Fourier transforms and Hardy spaces
- Mixed martingale Hardy spaces
- Fourier transform of anisotropic mixed-norm Hardy spaces
- Atomic decomposition for mixed Morrey spaces
- Growth envelopes of some variable and mixed function spaces
- Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces
- Real-variable characterizations of new anisotropic mixed-norm Hardy spaces
- Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces
- Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators
- Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
- Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
- Mixed Morrey spaces
- Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
- Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications
- Inversion formulas for the short-time Fourier transform
- Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps
- A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms
- The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
- On convergence and growth of partial sums of Fourier series
- The multiplier problem for the ball
- Iterated weak and weak mixed-norm spaces with applications to geometric inequalities
- Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
- Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces
- Lebesgue points and restricted convergence of Fourier transforms and Fourier series
- Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- On Function Spaces with Mixed Norms — A Survey
- Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ)
- An Extended Inequality for the Maximal Function
- Bilinear operators on Herz-type Hardy spaces
- Discrete decomposition of homogeneous mixed-norm Besov spaces
- Dual spaces of anisotropic mixed-norm Hardy spaces
- CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
- Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces
- Interpolation of Herz Spaces and Applications
- Mixed-norm $\alpha $-modulation spaces
- Classical Fourier Analysis
- Fourier multipliers on anisotropic mixed-norm spaces of distributions
- Boundedness of commutators of fractional integral operators on mixed Morrey spaces
- On the trace problem for Lizorkin–Triebel spaces with mixed norms
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
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