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    A representation of local time for Lipschitz surfaces 

    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 diameter greater than r which started before time t. Then rN[subscript]t(r) converges as r --> 0 to a ...
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    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.
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    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 set] (0, 1/2), there exists a twisted Hölder domain of order [alpha] for which the boundary Harnack principle ...
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    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 that 1/2 is sharp. For Hölder domains of order [alpha] with [alpha is an element of the set] (0, 1], the ...

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    AuthorBass, Richard F. (4)
    Burdzy, Krzysztof (4)
    Banuelos, Rodrigo (2)Subject
    Hölder domains (4)
    boundary Harnack principle (3)Brownian motion (1)conditioned Brownian motion (1)h-processes (1)harmonic functions (1)Harnack principle (1)Lipschitz surfaces (1)Local time (1)twisted Hölder domains (1)... View MoreDate Issued1994 (1)1991 (2)1990 (1)

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