Estimates for the Poisson kernels on homogeneous manifolds of negative curvature and the boundary Harnack inequality in the noncoercive case

• Autorzy: Urban R.
• Języki publikacji: EN

Abstrakty

EN

Using a probabilistic technique we obtain upper and lower estimates for the Poisson kernels of the second order differential operators on a homogeneous manifold of negative curvature. Our results improve estimates obtained in the paper [5]. Moreover, for the noncoercive operator we proved the boundary Harnack inequality which turned out to be the same as in the coercive case.

Słowa kluczowe

EN

Poisson kernel; boundary Harnack; noncoercive operator

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2001
• Tom: Vol. 21, Fasc. 1
• Strony: 213--229
• Opis fizyczny: Biblogr. 16 poz

Twórcy

autor

Urban R.

• Institute of Mathematics Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland

Bibliografia

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