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Plemelj Formulas for Rarita-Schwinger Type Operators

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Abstract

We introduce Plemelj formulas for Rarita-Schwinger operators defined over Lipschitz graphs in \({\mathbb{R}^{n}}\) and their corresponding surfaces on the sphere, S n and real projective spaces. We introduce the corresponding Hardy p-spaces for \({1 < p < \infty}\). We also introduce Rarita-Schwinger analogues of the classical Szegö projection operators and Kerzman-Stein formulas.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR, 72701, USA

    Junxia Li & John Ryan

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  1. Junxia Li
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  2. John Ryan
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Correspondence to John Ryan.

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This paper is dedicated to Klaus Gürlebeck on the occassion of his 60th birthday.

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Li, J., Ryan, J. Plemelj Formulas for Rarita-Schwinger Type Operators. Adv. Appl. Clifford Algebras 24, 1093–1104 (2014). https://doi.org/10.1007/s00006-014-0506-9

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  • DOI: https://doi.org/10.1007/s00006-014-0506-9

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