An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications
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Publication:5025423
DOI10.1512/iumj.2021.70.8732zbMath1487.30038arXiv1908.03040OpenAlexW2964768552MaRDI QIDQ5025423
Xuan Thinh Duong, Wei Wang, Ji Li, Der-Chen E. Chang, Qing Yan Wu
Publication date: 2 February 2022
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03040
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35)
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Cites Work
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- On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of \(\mathrm{Sp}{(n+1,1)}\)
- On the Cauchy-Szegő kernel for quaternion Siegel upper half-space
- Commutators in the two-weight setting
- Characterizations of \(H_{\Delta_N}^1(\mathbb{R}^n)\) and \(\operatorname{BMO}_{\Delta_N}(\mathbb{R}^n)\) via weak factorizations and commutators
- The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group
- Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups
- Quaternion \(H\)-type group and differential operator \(\Delta_\lambda \)
- Quasiconformal mappings on the Heisenberg group
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Factorization theorems for Hardy spaces in several variables
- On the compactness of operators of Hankel type
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
- The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator
- Compactness of Riesz transform commutator on stratified Lie groups
- On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
- On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
- Two weight commutators in the Dirichlet and Neumann Laplacian settings
- The unified theory for the necessity of bounded commutators and applications
- Two weight commutators on spaces of homogeneous type and applications
- Commutators of singular integrals revisited
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- A revisit on the compactness of commutators
- The Cauchy integral, bounded and compact commutators
- Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting
- Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces
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