An Algebra Containing the Two-Sided Convolution Operators

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We present an intrinsically defined algebra of operators containing the right and left invariant Calderón-Zygmund operators on a stratified group. The operators in our algebra are pseudolocal and bounded on L^p (1<p<\infty). This algebra provides an example of an algebra of singular integrals that falls outside of the classical Calderón-Zygmund theory.
69 pages

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Classical Analysis and ODEs, 42B20; 42B25

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http://salesiana.dossiersoluciones.com/handle/123456789/154738

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1807
 http://arxiv.org/abs/0802.1807

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arXiv