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The Gehring Lemma

In: Quasiconformal Mappings and Analysis

Author

Listed:
  • Tadeusz Iwaniec

    (Syracuse University Syracuse, Department of Mathematics)

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.

Suggested Citation

  • Tadeusz Iwaniec, 1998. "The Gehring Lemma," Springer Books, in: Peter Duren & Juha Heinonen & Brad Osgood & Bruce Palka (ed.), Quasiconformal Mappings and Analysis, pages 181-204, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0605-7_12
    DOI: 10.1007/978-1-4612-0605-7_12
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