Stieltjes integrals in the theory of harmonic functions

DOI10.1007/s10958-019-04593-3zbMath1435.28004OpenAlexW2987488255WikidataQ126794111 ScholiaQ126794111MaRDI QIDQ2307896

Vladimir I. Ryazanov

Publication date: 25 March 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04593-3

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integration with respect to measures and other set functions (28A25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (8)

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 classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness) ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ Some applied aspects of the Dirac delta function ⋮ On Hilbert boundary value problem for Beltrami equation ⋮ On Hilbert and Riemann problems for generalized analytic functions and applications ⋮ Representation of Weierstrass integral via Poisson integrals

Cites Work

• Infinite dimension of solutions of the Dirichlet problem
• On the theory of the boundary behavior of conjugate harmonic functions
• The Cantor function
• On the Riemann-Hilbert Problem for the Beltrami Equations
• On the Riemann-Hilbert problem IV
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