Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces
From MaRDI portal
Publication:776160
DOI10.1515/forum-2019-0319zbMath1442.42054OpenAlexW3016859534MaRDI QIDQ776160
Jiao Chen, Wei Ding, Guozhen Lu
Publication date: 30 June 2020
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/forum-2019-0319
pseudo-differential operatorsinhomogeneous Journé's type classmulti-parameter atomsmulti-parameter local Hardy spaces
Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)
Related Items (12)
Endpoint estimates for a trilinear pseudo-differential operator with flag symbols ⋮ Extrapolation to product Herz spaces and some applications ⋮ Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ Atomic decomposition of weighted multi-parameter mixed Hardy spaces ⋮ On the boundedness of rough bi-parameter Fourier integral operators ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces ⋮ Estimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spaces ⋮ Unnamed Item ⋮ Multi-parameter local Hardy spaces ⋮ Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order
- Singular integrals with flag kernels on homogeneous groups, I
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu
- 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
- 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
- Regularity properties of Fourier integral operators
- Wave front sets, local smoothing and Bourgain's circular maximal theorem
- Multiparameter singular integrals and maximal functions
- A local version of real Hardy spaces
- \(L^{p}\) 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
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
- Boundedness criterion of Journé's class of singular integrals on multiparameter Hardy spaces
- Hörmander type multiplier theorems on bi-parameter anisotropic Hardy spaces
- Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces
- Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces
- Multi-parameter local Hardy spaces
- Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group
- On the boundedness of pseudo-differential operators
- Fourier integral operators. I
- L\(^p\) bounds for pseudo-differential operators
- Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators
- Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators
- Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
- Multi-parameter hardy spaces via discrete Littlewood-Paley theory
- Multiparameter operators and sharp weighted inequalities
- Multi-parameter Singular Integrals
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- $L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators
- The Calderon-Zygmund Decomposition on Product Domains
- A Covering Lemma for Product Spaces
- Calderón-Zygmund theory for product domains: H p spaces
- Commutator estimates and the euler and navier-stokes equations
- H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- A new class of pseudo-differential operators
- H p theory for the poly-disc
- The weak-type (1,1) of Fourier integral operators of order –(n–1)/2
- Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation
- L^p estimates for a trilinear pseudo-differential operator with flag symbols
- Pseudo‐differential operators
- Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
- An algebra of pseudo‐differential operators
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
This page was built for publication: Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces
