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Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces

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Author information

Author notes

  1. Duy-Minh Nhieu

    Present address: Institute of Mathematics, Academia Sinica, Nankang, 11529, Taipei, Taiwan R.O.C.

Authors and Affiliations

  1. Department of Mathematics, Purdue University, 47907-1968, West Lafayette, IN, USA

    Nicola Garofalo & Duy-Minh Nhieu

  2. Dipartimento di Metodi e Modelli Matematici, Via Belzoni, 7, 35100, Padova, Italy

    Nicola Garofalo

Authors
  1. Nicola Garofalo
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  2. Duy-Minh Nhieu
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Additional information

First author supported by NSF Grant No. DMS-9404358.

Second author supported by a grant of the Purdue Research Foundation and also by the first author’s NSF Grant no. DMS-9404358.

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Garofalo, N., Nhieu, DM. Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces. J. Anal. Math. 74, 67–97 (1998). https://doi.org/10.1007/BF02819446

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  • DOI: https://doi.org/10.1007/BF02819446

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