Fundamental properties of Cauchy-Szegő projection on quaternionic Siegel upper half space and applications (Q6658834)

scientific article; zbMATH DE number 7963410

Language	Label	Description	Also known as
English	Fundamental properties of Cauchy-Szegő projection on quaternionic Siegel upper half space and applications	scientific article; zbMATH DE number 7963410

Statements

instance of

scholarly article

0 references

title

Fundamental properties of Cauchy-Szegő projection on quaternionic Siegel upper half space and applications (English)

0 references

0 references

0 references

0 references

0 references

0 references

0 references

8 January 2025

0 references

zbMATH Keywords

quaternionic Siegel upper half space

0 references

Cauchy-Szegő projection

0 references

regularity

0 references

MaRDI profile type

Publication

0 references

cites work

Regular functions of several quaternionic variables and the Cauchy-Fueter complex

0 references

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

0 references

Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.

0 references

Quaternionic Monge-Ampère equations

0 references

Valuations on convex sets, non-commutative determinants, and pluripotential theory

0 references

A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)

0 references

Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry

0 references

The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators

0 references

On slice hyperholomorphic fractional Hardy spaces

0 references

Quaternionic de Branges Spaces and Characteristic Operator Function

0 references

Quaternionic complexes

0 references

Taylor formula for homogeneous groups and applications

0 references

Stratified Lie Groups and Potential Theory for their Sub-Laplacians

0 references

Explicit resolutions for the complex of several Fueter operators

0 references

Complexes of invariant operators in several quaternionic variables

0 references

On higher gradients of harmonic functions

0 references

An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications

0 references

On the Cauchy-Szegő kernel for quaternion Siegel upper half-space

0 references

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

0 references

Extension results for slice regular functions of a quaternionic variable

0 references

Invariant resolutions for several Fueter operators

0 references

Q4310044

0 references

Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups

0 references

Hardy spaces on some pseudoconvex domains

0 references

Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions

0 references

Schatten classes and commutators of Riesz transform on Heisenberg group and applications

0 references

The Bergman kernel and biholomorphic mappings of pseudoconvex domains

0 references

\(H^p\) spaces of several variables

0 references

Q3482394

0 references

Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

0 references

The atomic decomposition for Hardy spaces in several complex variables

0 references

Some results in \(H^ p\) theory for the Heisenberg group

0 references

A new theory of regular functions of a quaternionic variable

0 references

The dirichlet problem for the bergman laplacian. I

0 references

Schatten classes and commutators of singular integral operators

0 references

Calderón-Zygmund operators on product spaces

0 references

Regularity of solutions to the quaternionic Monge-Ampère equation

0 references

A Poisson integral for homogeneous wedge domains

0 references

On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications

0 references

The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness

0 references

Quantum differentiability of essentially bounded functions on Euclidean space

0 references

Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)

0 references

Q3908070

0 references

Q4796283

0 references

Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space

0 references

A decomposition theorem for BMO and applications

0 references

Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators

0 references

Quaternionic Hankel operators and approximation by slice regular functions

0 references

The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

0 references

Q5607484

0 references

Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

0 references

Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

0 references

Q3139021

0 references

On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space

0 references

The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions

0 references

On the linear algebra in the quaternionic pluripotential theory

0 references

The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate

0 references

Atomic decomposition theorem for Hardy spaces on products of Siegel upper half spaces and bi-parameter Hardy spaces

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

10.1515/FORUM-2024-0049

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6658834