Now showing items 1-4 of 4

    • The boundary Harnack principle for non-divergence form elliptic operators 

      Burdzy, Krzysztof; Bass, Richard F. (Cambridge University Press, 1994)
      If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the ratio of positive L–harmonic functions holds in Hölder domains of order [alpha] if [alpha] > 1/2. A counterexample shows ...
    • A boundary Harnack principle in twisted Hölder domains 

      Burdzy, Krzysztof; Bass, Richard F. (Annals of Mathematics, 1991-09)
      The boundary Harnack principle for the ratio of positive harmonic functions is shown to hold in twisted Hölder domains of order [alpha] for [alpha is an element of the set](1/2, 1]. For each [alpha is an element of the ...
    • Hölder domains and the boundary Harnack principle 

      Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Duke University Press, 1991-10)
      A version of the boundary Harnack principle is proven.
    • A probabilistic proof of the boundary Harnack principle 

      Burdzy, Krzysztof; Bass, Richard F. (Birkhauser Boston, Inc., 1990)
      The main purpose of this paper is to give a probabilistic proof of Theorem 1.1, one using elementary properties of Brownian motion. We also obtain the fact that the Martin boundary equals the Euclidean boundary as an easy ...