The Cauchy transform of certain distributions with application

DOI10.1007/s11785-010-0111-4zbMath1275.30004OpenAlexW2068097323MaRDI QIDQ371739

Boris A. Kats

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-010-0111-4

zbMATH Keywords

distributionCauchy transformRiemann boundary value problemfractal dimensionnon-rectifiable curve

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (8)

Marcinkiewicz exponents and integrals over non-rectifiable paths ⋮ Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve ⋮ Torsions and integrations ⋮ Interactions of germs with applications ⋮ On local properties of singular integrals ⋮ The Riemann boundary value problem on non-rectifiable curves and related questions ⋮ Cauchy integral and singular integral operator over closed Jordan curves ⋮ Doubly periodic Riemann boundary value problem for non-rectifiable curves

Cites Work

• On solvability of the jump problem
• A weak type inequality for Cauchy transforms of finite measures
• Bilipschitz maps, analytic capacity, and the Cauchy integral
• Existence and Weak-Type Inequalities for Cauchy Integrals of General Measures on Rectifiable Curves and Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Cauchy transform of certain distributions with application