Integration over nonrectifiable curves as a distribution

DOI10.1007/s10958-023-06698-2OpenAlexW4387499704MaRDI QIDQ6184089

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Publication date: 24 January 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06698-2

zbMATH Keywords

Marcinkiewicz exponentsintegration over non-rectifiable curves

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02)

Cites Work

• Integration over non-rectifiable curves and Riemann boundary value problems
• The Gauss-Green theorem for fractal boundaries
• Integration over nonrectifiable paths with applications
• A jump problem for \(\beta \)-analytic functions in domains with fractal boundaries
• On the jump problem for β-analytic functions
• Riemann boundary value problem on nonrectifiable curves for certain Beltrami equations
• The Riemann boundary value problem on non-rectifiable curves and related questions
• A Note on Green's Theorem
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