Le Matematiche (May 1998)

Hölder classes relative to degenerate elliptic operators as interpolation spaces

  • Ugo Gianazza,
  • Vincenzo Vespri

Journal volume & issue
Vol. 53, no. 1
pp. 107 – 121

Abstract

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The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of Hörmander type.