Discrete Littlewood-Paley-Stein characterization and \(L^2\) atomic decomposition of local Hardy spaces
From MaRDI portal
Publication:2336112
DOI10.1007/s10114-019-8532-0zbMath1425.42026OpenAlexW2967487717MaRDI QIDQ2336112
Yue Ping Zhu, Wei Ding, Li Xin Jiang
Publication date: 18 November 2019
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-019-8532-0
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)
Related Items
Mixed Hardy spaces and their applications, Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces, Boundedness of singular integral operators on local Hardy spaces and dual spaces, Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications, Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces, Dual spaces of multiparameter local Hardy spaces
Cites Work
- Unnamed Item
- Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)
- \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators
- Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Local Riesz transform characterization of local Hardy spaces
- Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition
- Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
- Pseudodifferential operators on local Hardy spaces
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- Carleson measure on the bi-disc
- A local version of real Hardy spaces
- Calderón-Zygmund operators on weighted \(H^p(\mathbb{R}^n)\)
- Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters
- Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces
- Multi-parameter local Hardy spaces
- Locally solvable vector fields and Hardy spaces
- Hardy spaces associated with different homogeneities and boundedness of composition operators
- Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group
- Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators
- Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- Classical Fourier Analysis
- H p theory for the poly-disc