Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces
From MaRDI portal
Publication:2062539
DOI10.3934/cpaa.2019139zbMath1480.42035OpenAlexW2944751314MaRDI QIDQ2062539
Publication date: 27 December 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2019139
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)
Related Items
Product \((\alpha_1, \alpha_2)\)-modulation spaces, Hörmander multiplier theorem with regularity in modulation spaces
Cites Work
- Unnamed Item
- On the construction of asymptotic solutions of two-point boundary-value problems for degenerate singularly perturbed systems of differential equations
- The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces
- Singular integrals with flag kernels on homogeneous groups, I
- \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators
- The inclusion relation between Sobolev and modulation spaces
- Bi-parameter paraproducts
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- The global Cauchy problem for the NLS and NLKG with small rough data
- Fourier multipliers of classical modulation spaces
- Multi-parameter paraproducts
- Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
- Banach algebras of pseudodifferential operators and their almost diagonalization
- On the Hörmander multiplier theorem and modulation spaces
- Trace ideals for pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation 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
- Modulation spaces and pseudodifferential operators
- Gabor frames and time-frequency analysis of distributions
- Foundations of time-frequency analysis
- \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators
- Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness
- Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators
- A characterization of product BMO by commutators.
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
- An algebra of pseudodifferential operators
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
- 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
- The dilation property of modulation spaces and their inclusion relation with Besov spaces
- Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters
- Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness
- A class of Fourier multipliers for modulation spaces
- Density, overcompleteness, and localization of frames. II: Gabor systems
- Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group
- Boundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spaces
- Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators
- Multiparameter operators and sharp weighted inequalities
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- Local well-posedness of nonlinear dispersive equations on modulation spaces
- The Calderon-Zygmund Decomposition on Product Domains
- H p theory for the poly-disc
- The Boundedness of Pseudodifferential Operators on Modulation Spaces
- Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type
- Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
