We study harmonic functions associated to the system of stochasticdifferential equations$dX_t^i=A_{i1}(X_{t-})dZ_t^1+cdots+A_{id}(X_{t-})dZ_t^d$, $iin{1,dots,d}$,where $Z_t^1,dots, Z_t^d$ are independent one-dimensional symmetric stableprocesses with indices $lpha_iin(0,2)$. We prove H"older regularity ofbounded harmonic functions with respect to solutions of the above system ofstochastic differential equations.
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机译：我们研究与随机单向方程式系统相关的谐波函数$ dx_t ^ i = a_ {i1}（x_ {t-}）dz_t ^ 1 + cdots + a_ {id}（x_ {t-}）dz_t ^ d $， $ i in {1， dots，d } $，其中$ z_t ^ 1， dots，z_t ^ d $是独立的一维对称稳定处理，其中指令$ alpha_i IN（0,2）$。我们证明了H “关于上述系统的解决方案的谐波函数的较旧规则性。
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