Local and weighted Marcinkiewicz exponents with applications

DOI10.1016/j.jmaa.2016.03.006zbMath1338.30029OpenAlexW2293474538MaRDI QIDQ269415

David B. Katz

Publication date: 18 April 2016

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.2016.03.006

zbMATH Keywords

non-rectifiable curvesRiemann problemjump boundary value problem

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25)

Related Items (8)

The jump problem for certain Beltrami equation on arcs ⋮ Interactions of germs with applications ⋮ Marcinkiewicz exponent and boundary value problems in fractal domains of \(\mathbb{R}^{n+1}\) ⋮ Singular integral equations on non-smooth curves in Hölder-Frechét space ⋮ Integration over nonrectifiable paths with applications ⋮ Zigzags and spirals in boundary-value problems ⋮ Well-posedness of jump problem on non-rectifiable curves ⋮ Non-rectifiable Riemann boundary value problem for bi-analytic functions

Cites Work

• Approximate dimension applied to criteria for monogenicity on fractal domains
• A note on the dimensions of Assouad and Aikawa
• The refined metric dimension with applications
• Marcinkiewicz exponents and integrals over non-rectifiable paths
• Quasiadditivity of Riesz capacity.
• Dimensions, Whitney covers, and tubular neighborhoods
• The Riemann boundary value problem on non-rectifiable curves and related questions
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