The refined metric dimension with applications

DOI10.1007/BF03321632zbMath1202.30066OpenAlexW2078836698MaRDI QIDQ2467661

Boris A. Kats

Publication date: 28 January 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321632

zbMATH Keywords

holomorphic functionmetric dimensionjump problemnon-rectifiable curve

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items (10)

Local and weighted Marcinkiewicz exponents with applications ⋮ Marcinkiewicz exponents and integrals over non-rectifiable paths ⋮ Analytic Riemann boundary value problem on \(h\)-summable closed curves ⋮ Metric dimensions, generalized integrations, Cauchy transform, and Riemann boundary-value problem on nonrectifiable arcs ⋮ The rate of polygonal approximation of a non-rectifiable curve and the jump problem ⋮ Riemann boundary value problem on periodic non-rectifiable curve ⋮ Marcinkiewicz exponents and their application in boundary-value problems ⋮ Application of Faber polynomials to the approximate solution of the Riemann problem ⋮ New metric characteristics of nonrectifiable curves and their applications ⋮ The Riemann Boundary Value Problem on Non-rectifiable Arcs and the Cauchy Transform

Cites Work

• Boundary-value problems and singular equations on a rectifiable contour
• Direct and inverse estimates for a singular Cauchy integral along a closed curve
• Boundary values of Cauchy type integral on a nonsmooth curve
• The jump problem and the Faber-Schauder series
• THE RIEMANN BOUNDARY VALUE PROBLEM ON A NONSMOOTH OPEN CURVE
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