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A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations)

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Publication:883504
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DOI10.1016/j.jfa.2006.12.015zbMath1121.45002OpenAlexW2091097831MaRDI QIDQ883504

Vladimir Gilelevich Maz'ya

Publication date: 4 June 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.12.015


zbMATH Keywords

factorizationFredholm theoryco-area formulamulti-dimensional integral equations


Mathematics Subject Classification ID

Integral operators (47G10) Fredholm integral equations (45B05)


Related Items

Seventy five (thousand) unsolved problems in analysis and partial differential equations



Cites Work

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  • On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
  • Curvature Measures
  • Systems of integral equations on a half line with kernels depending on the difference of arguments
  • The co-area formula for Sobolev mappings


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