Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness
From MaRDI portal
Publication:1725555
DOI10.4171/rmi/1035zbMath1422.42023OpenAlexW2902782350MaRDI QIDQ1725555
Publication date: 14 February 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rmi/1035
Littlewood-Paley-Stein square functionsHörmander multiplierbi-parameter Hardy \(H^p\) spacesbi-parameter Sobolev spacesminimal smoothness condition
Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Related Items
Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces, The boundedness of multi-linear and multi-parameter pseudo-differential operators, Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters, Hörmander type multiplier theorems on bi-parameter anisotropic Hardy spaces, Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces, Atomic decomposition of weighted multi-parameter mixed Hardy spaces, Hörmander type multipliers on anisotropic Hardy spaces, Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications, Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces, Multi-parameter local Hardy spaces, Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces, Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Multi-parameter singular Radon transforms. I: The \(L^2\) theory
- Boundedness of singular integrals in Journé's class on weighted multiparameter Hardy spaces
- \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Multi-parameter singular Radon transforms III: Real analytic surfaces
- Estimates for translation invariant operators in \(L^p\) spaces
- Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition
- Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces
- Singular integrals on product spaces
- Calderón-Zygmund operators on product spaces
- Two problems of Calderón-Zygmund theory on product-spaces
- Harmonic analysis on product spaces
- Journé's covering lemma and its extension to higher dimensions
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- Parabolic maximal functions associated with a distribution. II
- The multiplier operators on the product spaces
- \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators
- Boundedness criterion of Journé's class of singular integrals on multiparameter Hardy spaces
- Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters
- Minimal smoothness conditions for bilinear Fourier multipliers
- Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters
- Multi-parameter singular Radon transforms. II: The \(L^p\) theory
- Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness
- 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
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- The Calderon-Zygmund Decomposition on Product Domains
- A Covering Lemma for Product Spaces
- H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
- H p theory for the poly-disc
- Multiplier operators on product spaces
- Note on the differentiability of multiple integrals
- Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces
