Boundary properties for several singular integral operators in real Clifford analysis |
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| Authors: | He-ju Yang Yong-hong Xie |
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| Affiliation: | [1]College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China [2]College of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China |
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| Abstract: | ![]()
On the basis of the Cauchy integral formulas for regular and biregular functions, we define some Cauchy-type singular integral operators. Then we discuss the Hölder continuous property of some singular integral operators with one integral variable. Then we divide a singular integral operator with two variables into three parts and prove its Hölder continuous property on the boundary. |
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| Keywords: | Singular integral operator Holder continuous function boundary property. |
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