Absolutely continuous states of exit measures for super-Brownian motions with branching restricted

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有分叉的机制 $\\psi (z)= z ^ \\alpha 的 super-Brownian 运动的出口措施, 1 < \\alpha \\leqslant 如果,从在 d+1 的围住的光滑的领域 D 的 2 $ 被知道关于 D 上的表面区域绝对连续 $d < \\frac { 2 }{{一- 1 }}$而在情况 $d > 1 + \\frac { 2 }{{一- 1 }}$他们是单个的。然而,如果分叉被限制为单个 hyperplane,他们为 alld1 有绝对连续的状态,这被证明
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