Summability on non-rectifiable Jordan curves

DOI10.1515/gmj-2018-0031zbMath1388.28009OpenAlexW2801228232WikidataQ129944267 ScholiaQ129944267MaRDI QIDQ1637535

Yevgeniy Guseynov

Publication date: 8 June 2018

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

Full work available at URL: https://doi.org/10.1515/gmj-2018-0031

zbMATH Keywords

integrationnon-rectifiable Jordan curvesnon-summable weights

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sample path properties (60G17) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Integrable boundaries and fractals for Hölder classes; the Gauss-Green theorem
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