A bimonogenic Cauchy transform on higher order Lipschitz classes
L De la Cruz Toranzo, AM García, TM García… - … Journal of Mathematics, 2019 - Springer
Mediterranean Journal of Mathematics, 2019•Springer
We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued
functions theory behaves invariant on the higher order Lipschitz classes and obtain a
Plemelj–Privalov theorem for the related singular integral transform. Moreover, we obtain an
upper bound for the norm of such an operator in the pathological case of fractal boundaries.
functions theory behaves invariant on the higher order Lipschitz classes and obtain a
Plemelj–Privalov theorem for the related singular integral transform. Moreover, we obtain an
upper bound for the norm of such an operator in the pathological case of fractal boundaries.
Abstract
We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functions theory behaves invariant on the higher order Lipschitz classes and obtain a Plemelj–Privalov theorem for the related singular integral transform. Moreover, we obtain an upper bound for the norm of such an operator in the pathological case of fractal boundaries.
Springer
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