On Cauchy–Pompeiu’s Operator in Octant Ring

Hasan Baddour, Anas Kar and Ljubisa Kocinac

Journal of Mathematics, 2022, vol. 2022, 1-16

Abstract: In this study, we have determined Cauchy–Pompeiu representation formula in octant unit ring R4 by modulation the main Cauchy–Pompeiu representation; this modulation was obtained by applying the parqueting-reflection method. Moreover, the boundedness of the modulated Cauchy–Pompeiu’s operator in R4 is proved by applying Schmitz’s inequality.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1816883

DOI: 10.1155/2022/1816883

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