Hardy Spaces for the Three-Dimensional Vekua Equation

DOI10.1007/978-3-030-23854-4_6zbMath1456.46025OpenAlexW2980362213MaRDI QIDQ5115034

Briceyda B. Delgado, R. Michael Porter

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23854-4_6

zbMATH Keywords

Hardy spacesmonogenic functionsconductivity equationmain Vekua equationVekua-Hardy spacesVekua-Hilbert transform

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Quaternionic functional analysis (46S05)

Cites Work

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• The Riemann-Hilbert problem in Hardy classes for general first-order elliptic systems
• Hardy spaces of the conjugate Beltrami equation
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• On the Hardy space-H of a \(C^ 1\) domain
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Clifford wavelets, singular integrals, and Hardy spaces
• General solution of the inhomogeneous div-curl system and consequences
• Quaternionic analysis and elliptic boundary value problems
• Hilbert transforms on the sphere with the Clifford algebra setting
• Some orthogonal decompositions of Sobolev spaces and applications
• On Riesz systems of harmonic conjugates in R3
• Hardy spaces of solutions of generalized Riesz and Moisil–Teodorescu systems
• Applied Pseudoanalytic Function Theory
• Hilbert transforms and the Cauchy integral in euclidean space
• Finite Element Methods for Navier-Stokes Equations
• Weighted H p Spaces on Lipschitz Domains
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Weyl's Lemma for Pointwise Solutions of Elliptic Equations
• Hilbert Transforms on the Sphere and Lipschitz Surfaces
• Hilbert transform for the three-dimensional Vekua equation
• Hardy spaces of Clifford algebra-valued monogenic functions in exterior domains and a higher dimensional version of Cauchy’s vanishing theorem
• Weyl's law in the theory of automorphic forms
• Inverse problems for partial differential equations

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