6533b85bfe1ef96bd12ba83d

RESEARCH PRODUCT

Mappings of finite distortion: Reverse inequalities for the Jacobian

Stanislav HenclXiao ZhongPekka Koskela

subject

symbols.namesakePure mathematicsDifferential geometryFourier analysisMathematical analysisJacobian matrix and determinantsymbolsGeometry and TopologyBall (mathematics)Reverse holder inequalityMathematics

description

Let f be a nonconstant mapping of finite distortion. We establish integrability results on 1/Jf by studying weights that satisfy a weak reverse Holder inequality where the associated constant can depend on the ball in question. Here Jf is the Jacobian determinant of f.

yearjournalcountryeditionlanguage
2007-06-01Journal of Geometric Analysis
https://doi.org/10.1007/bf02930724