Estimates for the Poisson kernel on higher rank $NA$ groups

Volume 118 / 2010

Richard Penney, Roman Urban Colloquium Mathematicum 118 (2010), 259-281 MSC: 43A85, 31B05, 22E25, 22E30, 60J25, 60J60. DOI: 10.4064/cm118-1-14


We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank $NA$ groups.


  • Richard PenneyDepartment of Mathematics
    Purdue University
    150 N. University St
    West Lafayette, IN 47907, U.S.A
  • Roman UrbanInstitute of Mathematics
    Wrocław University
    Plac Grunwaldzki 2/4
    50-384 Wrocław, Poland

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