Compactness of Riesz transform commutator on stratified Lie groups
From MaRDI portal
Publication:2314543
DOI10.1016/j.jfa.2019.05.008zbMath1423.43003arXiv1806.07153OpenAlexW2809135032WikidataQ127825825 ScholiaQ127825825MaRDI QIDQ2314543
Ji Li, Peng Chen, Xuan Thinh Duong, Qing Yan Wu
Publication date: 29 July 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07153
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Analysis on ordered groups, (H^p)-theory (43A17)
Related Items
Rough singular integrals associated to polynomial curves ⋮ Regularity of commutator of bilinear maximal operator with Lipschitz symbols ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Cauchy–Szegö commutators on weighted Morrey spaces ⋮ Commutators, BMO, Hardy spaces and factorization: a survey ⋮ Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups ⋮ Riesz-Kolmogorov type compactness criteria in function spaces with applications ⋮ The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ ⋮ Regularity of commutators of the bilinear maximal operator ⋮ Schatten classes and commutators of Riesz transform on Heisenberg group and applications ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ Bloom type inequality: the off-diagonal case ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Sharp bounds for generalized \(m\)-linear \(n\)-dimensional \(p\)-adic Hardy-Littlewood-Pólya operator ⋮ Commutators on weighted Morrey spaces on spaces of homogeneous type ⋮ XMO and weighted compact bilinear commutators ⋮ Regularity of local multilinear fractional maximal and strong maximal operators ⋮ An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
- Factorization theorems for Hardy spaces in several variables
- On the compactness of operators of Hankel type
- Compactness of Riesz transform commutator associated with Bessel operators
- Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups
- Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
- A visual formalism for weights satisfying reverse inequalities
- Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Extensions of Hardy spaces and their use in analysis
- Characterization of compactness of commutators of bilinear singular integral operators
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- A revisit on the compactness of commutators
- The Cauchy integral, bounded and compact commutators
- Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces
- COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
- Weighted Norm Inequalities for the Hardy Maximal Function
- Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I
- Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II