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Estimates for derivatives of the Poisson kernels on homogeneous manifolds of negative curvature

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Abstract.

We obtain estimates for derivatives of the Poisson kernels for the second order differential operators on homogeneous manifolds of negative curvature both in the coercive and noncoercive case.

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Authors and Affiliations

  1. Institute of Mathematics, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (e-mail:urban@math.uni.wroc.pl) , , , , , , PL

    Roman Urban

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  1. Roman Urban
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Received: 20 April 2001 / in final form: 18 August 2001 / Published online: 4 April 2002

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Urban, R. Estimates for derivatives of the Poisson kernels on homogeneous manifolds of negative curvature. Math Z 240, 745–766 (2002). https://doi.org/10.1007/s002090100397

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  • DOI: https://doi.org/10.1007/s002090100397

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