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Browsing Mathematics, Department of by Subject "harmonic functions"

Browsing Mathematics, Department of by Subject "harmonic functions"

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  • 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 ...
  • 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) = ...
  • 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 ...

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