Optimal local Hölder index for density states of superprocesses with 1+-branching mechanism
نویسنده
چکیده
Received May 2008; revised April 2009. Supported by the German Israeli Foundation for Scientific Research and Development, Grant G-807-227.6/2003. AMS 2000 subject classifications. Primary 60J80; secondary 60G57.
منابع مشابه
Optimal Local Hölder Index for Density States of Superprocesses with (1 + Β)-branching Mechanism
For 0 < α ≤ 2, a super-α-stable motion X in R with branching of index 1+β ∈ (1, 2) is considered. Fix arbitrary t > 0. If d < α/β, a dichotomy for the density function of the measure Xt holds: the density function is locally Hölder continuous if d = 1 and α > 1 + β, but locally unbounded otherwise. Moreover, in the case of continuity, we determine the optimal local Hölder index.
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تاریخ انتشار 2010