Cauchy integrals on Lipschitz surfaces in octonionic space

DOI10.1016/j.jmaa.2008.01.079zbMath1151.30038OpenAlexW1985589800MaRDI QIDQ924213

Li Zhong Peng, Tao Qian, Xing Min Li

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.079

zbMATH Keywords

octonionsLipschitz curveassociatorCauchy singular integralCalderon conjecture

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05) Integral operators (47G10)

Related Items

Global Plemelj formula of slice Dirac operator in octonions with complex spine ⋮ The octonionic Bergman kernel for the unit ball ⋮ On \(k\)-analytic functions of an octonionic variable ⋮ A note on Laurent series of the octonionic analytic functions ⋮ Cauchy formulae and Hardy spaces in discrete octonionic analysis ⋮ The octonionic Bergman kernel for the half space ⋮ Unnamed Item ⋮ Octonionic Kerzman-Stein operators ⋮ Orthonormal basis of the octonionic analytic functions ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions ⋮ A substitute for the set of leftk-analytic functions is not a right module

Cites Work

• The Laurent series on the octonions
• The Cauchy integral formulas on the octonions.
• The Paley-Wiener theorem in the non-commutative and non-associative octonions
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• A martingale proof of \(L_ 2\) boundedness of Clifford-valued singular integrals
• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
• The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Three-line theorem on the octonions
• Two Elementary Proofs of the L 2 Boundedness of Cauchy Integrals on Lipschitz Curves
• Plemelj Formulae and Transformations Associated to Plane Wave Decompositions in Complex Clifford Analysis
• The Cauchy Integral, Calderon Commutators, and Conjugations of Singular Integrals in R n
• Convolution Singular Integrals on Lipschitz Surfaces
• Cauchy integrals on Lipschitz curves and related operators
• The octonions
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
• Characterization of octonionic analytic functions
• Taylor series and orthogonality of the octonion analytic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cauchy integrals on Lipschitz surfaces in octonionic space