Integrability of derivatives of inverses of maps of exponentially integrable distortion in the plane |
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Authors: | James T Gill |
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Institution: | Washington University in St. Louis, Mathematics Department, Cupples Hall I, St. Louis, MO, United States |
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Abstract: | The K-quasiconformal maps form a category which is invariant under inversion, i.e. f and f−1 are simultaneously K-quasiconformal. Maps of exponentially integrable distortion are a useful class for extending the Beltrami equation to a degenerate setting. This class is not invariant under inversion. In this note we show that the inverses of homeomorphisms of exponentially p-integrable distortion have β-integrable distortion for all β<p, but not necessarily for β=p. |
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Keywords: | Mappings of finite distortion Exponential distortion Inverse properties |
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