An Algebra Containing the Two-Sided Convolution Operators

Details An Algebra Containing the Two-Sided Convolution Operators An Algebra Containing the Two-Sided Convolution Operators

2008-02-13

arxiv.org/abs/0802.1807v1

Mathematics

Classical Analysis and ODEs

69 pages

Scientific paper

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

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