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Some properties of a kind of higher order singular Teodorescu operator in \(\mathbb{R}^{n}\). (English) Zbl 1262.30055
Authors’ abstract: First, the boundedness and the Hölder continuity for a kind of higher order singular Teodorescu operators in \(\mathbb R^n\) are discussed. Then stability and error estimates for this higher order singular Teodorescu operators are given when the boundary surface of the domain is pertubed. Finally we give an application of the higher order singular Teodorescu operators.

30G35 Functions of hypercomplex variables and generalized variables
Full Text: DOI
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