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Browsing Mathematics, Department of by Subject "Hölder domains"

Browsing Mathematics, Department of by Subject "Hölder domains"

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  • 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 ...
  • 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 ...
  • Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Duke University Press, 1991-10)
    A version of the boundary Harnack principle is proven.
  • Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Springer-Verlag GmbH, 1990)
    Suppose that D [is an element of the set of Real numbers to the power of n], n [is greater than or equal to] 2, is a Lipschitz domain and let N[subscript]t(r) be the number of excursions of Brownian motion inside D with ...

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