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Book Chapter

The Cauchy singular integral operator and Clifford wavelets

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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Andersson, L., Jawerth, B., & Mitrea, M. (2021). The Cauchy singular integral operator and Clifford wavelets. In Wavelets (pp. 525-546).


Cite as: https://hdl.handle.net/21.11116/0000-000A-C530-1
Abstract
We give an elementary, self-contained real-variable proof of the L 2-boundedness of the Cauchy singular integral operator on a Lipschitz surface. The main new feature is the role played by a system of Clifford algebra valued wavelets adapted to the geometry of the surface.