References & Citations
Mathematics > Complex Variables
Title: Hardy decomposition of higher order Lipschitz classes by polymonogenic functions
(Submitted on 25 Apr 2024)
Abstract: In this paper we find a decomposition of higher order Lipschitz functions into the traces of a polymonogenic function and solve a related Riemann-Hilbert problem. Our approach lies in using a cliffordian Cauchy-type operator, which behaves as an involution operator on higher order Lipschitz spaces. The result obtained is a multidimensional sharpened version of the Hardy decomposition of H\"older continuous functions on a simple closed curve in the complex plane.
Submission history
From: Lianet De La Cruz Toranzo PhD [view email][v1] Thu, 25 Apr 2024 09:29:10 GMT (29kb)
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