Properties of Singular Integral Operators with Double LR Regular Kernel in Universal Clifford Analysis
The universal Clifford analysis is a more general generalization of the Clifford analysis.In this paper,we first study the Cauchy integral representation of double LR regular functions on a universal Clifford algebra and the properties of Cauchy type principal valued integrals.By defining LRegular function,R regular function,LR regular function,double LR regular function The kernel function of double LR regular in universal Clifford analysis is given,and its Cauchy integral representation is given.Finally,the convergence of Cauchy type singular integral operators with biregular kernel in universal Clifford analysis is studied by means of interpolation.
universal Clifford algebradouble IR regular functionsingular integral opera-torCauchy principal value integral
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