Article

On weighted dirac operators and their fundamental solutions

Published in: Quaestiones Mathematicae
Volume 43 , issue 3 , 2020 , pages: 383–393

DOI: 10.2989/16073606.2019.1575295

Author(s): Judith Vanegas Universidad Técnica de Manabí, Ecuador , Franklin Vargas Universidad Técnica de Manabí, Ecuador

Keywords: Primary: 30G35 , Secondary: 35E05 , 15A66 , Primary: 30G35 , Secondary: 35E05 , 15A66

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Abstract

In this work we define a Dirac type operator with constants weights which factorizes the Laplace operator in the classic sense. We characterize a family of operators of this type whose weights are elements of a subspace of the Cliﬀord algebra . For this operator we construct a fundamental solution and get a Cauchy-Pompeiu integral formula.

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