Integration over non-rectifiable curves and Riemann boundary value problems

DOI10.1016/j.jmaa.2011.02.068zbMath1218.30104OpenAlexW2068980588MaRDI QIDQ534736

Boris A. Kats, Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 10 May 2011

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.2011.02.068

zbMATH Keywords

Cauchy integralRiemann boundary value problemfractional dimensionnon-rectifiable curveDouglis algebra

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items (21)

Marcinkiewicz exponents and integrals over non-rectifiable paths ⋮ Analytic Riemann boundary value problem on \(h\)-summable closed curves ⋮ Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve ⋮ Jump problem for differentiable functions with applications ⋮ Determining the image of some singular function ⋮ Hölder norm estimate for the fractal Hilbert transform in Douglis analysis ⋮ Complex and quaternionic Cauchy formulas in Koch snowflakes ⋮ Torsions and integrations ⋮ Interactions of germs with applications ⋮ Plemelj formula of inframonogenic functions and their boundary value problems ⋮ Integration over nonrectifiable curves as a distribution ⋮ The jump problem for the critical Besov space ⋮ Marcinkiewicz exponents and their application in boundary-value problems ⋮ Integrable boundaries and fractals for Hölder classes; the Gauss-Green theorem ⋮ New metric characteristics of nonrectifiable curves and their applications ⋮ The Szegő function on a non-rectifiable arc ⋮ The Riemann boundary value problem on non-rectifiable curves and related questions ⋮ On the plane Lamé-Navier system in fractal domains ⋮ Doubly periodic Riemann boundary value problem for non-rectifiable curves ⋮ Cauchy-Hadamard integral with applications ⋮ Riemann boundary value problem on non-rectifiable curves with torsion points

Cites Work

• On solvability of the jump problem
• Hyperanalytic Riemann boundary value problem on \(d\)-summable closed curves
• Riemann boundary value problem for hyperanalytic functions
• Conjugate hyperharmonic functions and cauchy type integrals in douglis analysis
• Surface integrals for domains with fractal boundaries and some applications to elasticity
• A note about Riemann boundary value problems on non-rectifiable curves
• A function‐theoretic approach to elliptic systems of equations in two variables
• Unnamed Item
• 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: Integration over non-rectifiable curves and Riemann boundary value problems