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On Lusin's condition for the inverse function

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Abstract

Sia ϕ una funzione invertibile, continua e quasi ovunque differenziabile, da un aperto di IRn in IRn. Allora ϕ−1soddisfa alla condizione di Lusin (N) se e solo se lo Jacobiano di ϕ è quasi ovunque diverso da zero.

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References

  1. Chiarenza F., Frasca M.,Boundedness for the Solutions of a Degenerate Parabolic Equation, to appear on Applicable Anal.

  2. Hewitt E., Stromberg K.,Real and Abstract Analysis, Springer-Verlag, (1965).

  3. McShane E. J.,Integration, Princeton University Press (1944).

  4. Rudin W.,Real and Complex Analysis (2nd edition), McGraw-Hill (1974).

  5. Rudin W.,Well-Distributed Measurable Sets, Amer. Math. Monthly,90 (1983), 41–42.

    Article  MATH  MathSciNet  Google Scholar 

  6. Väisälä J.,Lectures on n-Dimensional Quasiconformal Mappings, Springer-Verlag (1971).

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  1. Seminario Matematico, Viale A. Doria 6, 95125, Catania

    Alfonso Villani

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  1. Alfonso Villani
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Villani, A. On Lusin's condition for the inverse function. Rend. Circ. Mat. Palermo 33, 331–335 (1984). https://doi.org/10.1007/BF02844496

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  • DOI: https://doi.org/10.1007/BF02844496

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