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Some properties of T-operator with bihypermonogenic kernel in Clifford analysis. (English) Zbl 1371.30045
Summary: In this paper, we give the definition of T-operator with bihypermonogenic kernel in Clifford analysis and discuss a series of properties of this operator, such as uniform boundness, Hölder continuity and $$\gamma$$-integrability. T-operator is a singular integral operator which is defined in the $$n$$-dimensional Euclidean space valued in the noncommutative Clifford algebra. The properties of T-operator play an important role in solving differential equations.

##### MSC:
 30G35 Functions of hypercomplex variables and generalized variables 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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##### References:
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