Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space
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Publication:1790941
DOI10.1007/s13163-018-0259-4zbMath1400.42028arXiv1605.00476OpenAlexW2963294476MaRDI QIDQ1790941
Publication date: 4 October 2018
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.00476
bi-parameter square functionbi-parameter \(g_{\lambda }^*\)-functionproduct \(H^1\) spacerectangle atomic decomposition
Related Items (2)
Hardy space estimates for bi-parameter Littlewood-Paley square functions ⋮ Boundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spaces
Cites Work
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- Boundedness of a class of bi-parameter square functions in the upper half-space
- On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels
- Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
- Representation of bi-parameter singular integrals by dyadic operators
- Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
- Boundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\)
- Calderón-Zygmund operators on product Hardy spaces
- Weighted estimates for the multilinear commutators of the Littlewood-Paley operators
- Singular integrals on product spaces
- Calderón-Zygmund operators on product spaces
- Harmonic analysis on product spaces
- Boundedness of the Littlewood-Paley g-function on \(Lip_{\alpha}(R^ n)\) \((0<\alpha <1)\)
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- \(H^p\) boundedness of Calderón-Zygmund operators on product spaces
- On the boundedness of biparameter Littlewood-Paley \(g_\lambda^\ast\)-function
- On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function
- Non-homogeneous \( T1\) theorem for bi-parameter singular integrals
- Weighted estimate for a class of Littlewood-Paley operators
- Weighted Littlewood-Paley theory and exponential-square integrability
- Harmonic analysis on \(n\)-dimensional vector spaces over local fields. II: Generalized Gauss kernels and the Littlewood-Paley function
- Inequalities for strongly singular convolution operators
- The development of square functions in the work of A. Zygmund
- Square functions with general measures
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- The Calderon-Zygmund Decomposition on Product Domains
- A Covering Lemma for Product Spaces
- Calderón-Zygmund theory for product domains: H p spaces
- Characterization of $H^{p}(R^{n})$ in terms of generalized Littlewood-Paley g-functions
- Multilinear Square Functions and Partial Differential Equations
- Multilinear Littlewood-Paley estimates with applications to partial differential equations
- Problems in harmonic analysis related to curvature
- H p theory for the poly-disc
- Theorems on Fourier Series and Power Series
- A $T(b)$ theorem on product spaces
- On some functions of Littlewood-Paley and Zygmund
- Theorems on Fourier Series and Power Series (II)†
- Theorems on Fourier Series and Power Series(III)
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