A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations)
type: Item
instance of: scholarly article
title: A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations)
zbMATH Open document ID: 1121.45002
published in: Journal of Functional Analysis
publication date: 2007-06-04T00:00:00Z
review text: The author introduces some classes of multi-dimensional integral equations which admit the diminishing of the dimension. The reduction is performed by factorization of the integral operator based on the co-area formula.
reviewed by: Adrian Carabineanu
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 5161233
zbMATH Keywords: Fredholm theory
zbMATH Keywords: co-area formula
zbMATH Keywords: multi-dimensional integral equations
zbMATH Keywords: factorization
author: V. Maz'ya
MaRDI profile type: Publication
full work available at URL: j.jfa.2006.12.015
OpenAlex ID: W2091097831
cites work: Curvature Measures
cites work: Systems of integral equations on a half line with kernels depending on the difference of arguments
cites work: Q4023123
cites work: On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
cites work: Q5800430
cites work: The co-area formula for Sobolev mappings
cites work: Q3205771
DOI: 10.1016/J.JFA.2006.12.015
description: scientific article; zbMATH DE number 5161233