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• W8812196 abstract "The first part of this article studies the integral and maximal operators associated with fundamental solutions of Dirac operators on Clifford bundles. The main goal is to obtain explicit estimates for integral transforms of this kind in terms of the corresponding maximal functions. As direct cones-quences of such estimates one derives several quantitative Hartogs-Rosenthal type theorems concerning monogenic approximation on compact sets. The second part illustrates a Clifford analysis approach to the theory of seminormal systems of Hilbert space operators. The four existing concepts of joint seminormality are reevaluated by assuming that the remainders in some Bochner-Kodaira identities are semidefinite, and a new concept is introduced based on a Bochner-Weitzenböck identity. A rather general singular integral model of jointly seminormal pairs of systems of self-adjoint operators that involves Riesz transforms is presented, and a Putnam type commutator inequality for that model is proved." @default.
• W8812196 created "2016-06-24" @default.
• W8812196 creator A5071682707 @default.
• W8812196 date "2004-01-01" @default.
• W8812196 modified "2023-09-24" @default.
• W8812196 title "Spin Geometry, Clifford Analysis, and Joint Seminormality" @default.
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• W8812196 doi "https://doi.org/10.1007/978-3-0348-7838-8_12" @default.
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