On the theory of the boundary behavior of conjugate harmonic functions

DOI10.1007/s11785-018-0861-yzbMath1429.31001OpenAlexW2899317505WikidataQ129013732 ScholiaQ129013732MaRDI QIDQ2007952

Yanyan Li

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0861-y

zbMATH Keywords

boundary values of harmonic functionsJordan domain with rectifiable boundary

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (9)

On some approximation properties of Gauss-Weierstrass singular operators ⋮ On a boundary properties of functions from a class \(H_p\) \((p \geq 1)\) ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ Some applied aspects of the Dirac delta function ⋮ Hilbert and Poincaré problems for semi-linear equations in rectifiable domains ⋮ On the Hilbert problem for semi-linear Beltrami equations ⋮ On boundary-value problems for semi-linear equations in the plane ⋮ Representation of Weierstrass integral via Poisson integrals ⋮ Stieltjes integrals in the theory of harmonic functions

Cites Work

• Infinite dimension of solutions of the Dirichlet problem
• On Neumann and Poincare problems for Laplace equation
• The Cantor function
• On the Riemann-Hilbert Problem for the Beltrami Equations
• Moduli in Modern Mapping Theory
• On the Riemann-Hilbert problem IV
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