The Gehring Lemma

Tadeusz Iwaniec ()
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Tadeusz Iwaniec: Syracuse University Syracuse, Department of Mathematics

A chapter in Quasiconformal Mappings and Analysis, 1998, pp 181-204 from Springer

Abstract: Abstract I am honored and pleased to comment on the work of Professor Frederick W. Gehring on the occasion of his 70th birthday. Because of his pioneering ideas, the theory of quasiconformal mappings has enjoyed an extensive development. Reverse Hölder inequalities represent one of Fred’s supreme accomplishments, with enormous repercussions for nonlinear PDEs. I am pleased to acknowledge the immense influence Fred has had on me and my work. His wonderful lemma, in particular, has shaped my own views on the L p -theory of mappings of finite distortion and their governing equations. It is to Fred and this lemma that my article is dedicated.

Keywords: Maximal Function; Quasiconformal Mapping; Orlicz Space; High Integrability; Nonlinear PDEs (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4612-0605-7_12

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