Integration over a fractal curve and the jump problem

DOI10.1007/BF02314628zbMath0936.30028MaRDI QIDQ1290792

Boris A. Kats

Publication date: 24 May 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral transforms in distribution spaces (46F12) Boundary value problems in the complex plane (30E25)

Related Items

The Riemann Boundary Value Problem on Non-rectifiable Curves and Fractal Dimensions, Metric dimensions, generalized integrations, Cauchy transform, and Riemann boundary-value problem on nonrectifiable arcs, Jump problem and removable singularities for monogenic functions, A jump problem for \(\beta \)-analytic functions in domains with fractal boundaries, Riemann boundary value problem on non-rectifiable curves with torsion points

Cites Work

• Quasiconformal mappings and extendability of functions in Sobolev spaces
• The trace to the boundary of Sobolev spaces on a snowflake
• The Gauss-Green theorem for fractal boundaries
• Stokes’ theorem for nonsmooth chains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item