Estimates for derivatives of the Green functions for noncoercive differential operators on homogeneous manifolds of negative curvature (Q1404339)

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scientific article; zbMATH DE number 1968878
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Estimates for derivatives of the Green functions for noncoercive differential operators on homogeneous manifolds of negative curvature
scientific article; zbMATH DE number 1968878

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    Estimates for derivatives of the Green functions for noncoercive differential operators on homogeneous manifolds of negative curvature (English)
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    21 August 2003
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    The paper deals with weakly coercive operators in Ancona terminology on homogeneous manifolds of negative curvature being a semi-direct product of a nilpotent Lie group \(N\) and \(A=R^+\). For the Green function of such an operator some estimates for the derivatives with respect to the \(N\)- and \(A\)-variables are obtained by some probabilistic and analytic machinery.
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    Green function
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    noncoercive operators
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    NA groups
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    Bessel process
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    evolutions
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