Now showing items 1-3 of 3

    • 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 ...
    • The Martin boundary in non-Lipschitz domains 

      Burdzy, Krzysztof; Bass, Richard F. (American Mathematical Society, 1993)
      The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = ...
    • On minimal parabolic functions and time-homogenous parabolic h-transforms 

      Burdzy, Krzysztof; Salisbury, Thomas S. (American Mathematical Society, 1999-03-29)
      Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semi-infinite tubes D [is an element of the subset of real numbers to the power ...