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Noetherity of a Singular Integral Operator Equation with Operations of Shift and Complex Conjugacy in Fractional Spaces

机译:具有分数空间中的换档和复杂共轭的操作的奇异积分操作员方程的核心性

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Let Γ be a Lyapunov closed curve of the class {formula}. In the Besov space {formula}, {formula} consider a singular integral operator (SIO) equation: {formula} where a(t), b(t), c(t), d(t) and g(t) belong to B(Γ), a(t) is Carleman shift: homeomorphically maps Γ onto itself with preservation or change of orientation on Γ and satisfies the condition {formula}
机译:让γ是{公式}的Lyapunov闭合曲线。在BESOV空间{公式},{公式}考虑一个奇异积分运算符(SIO)等式:{公式}其中a(t),b(t),c(t),d(t)和g(t)所属的对于B(γ),a(t)是Carleman Shift:在γ上保存或改变方向的完全定位地映射γ并满足条件{公式}

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