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θ-Calderón-zygmund operators

45-Minute Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1384)

Abstract

We enlarge the class of singular integrals of Calderón-Zygmund type by generalizing the usual assumptions on the kernel. These weaker conditions on the kernel arise naturally in the study of operators depending (linearly or not) on a functional parameter. Examples include the Cauchy integral operator, viewed as a function of the curve, and multilinear operators, viewed as operating on one of the arguments while the others are frozen.

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References

  1. R.R. Coifman and Y. Meyer, Au-delà des opérateurs pseudodifferéntiels, Asterisque 57 (1978).

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© 1989 Springer-Verlag

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Coifman, R., David, G., Meyer, Y., Semmes, S. (1989). θ-Calderón-zygmund operators. In: García-Cuerva, J. (eds) Harmonic Analysis and Partial Differential Equations. Lecture Notes in Mathematics, vol 1384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086798

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  • DOI: https://doi.org/10.1007/BFb0086798

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51460-2

  • Online ISBN: 978-3-540-48134-8

  • eBook Packages: Springer Book Archive