Spectral multipliers on lie groups of polynomial growth
Ημερομηνία
1994Συγγραφέας
Alexopoulos, Georgios K.Source
Proceedings of the American Mathematical SocietyVolume
120Issue
3Pages
973-979Google Scholar check
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Εμφάνιση πλήρους εγγραφήςΕπιτομή
Let L be a left invariant sub-Laplacian on a connected Lie group G of polynomial volume growth, and let (Eγγ ≥ 0) be the spectral resolution of L and m a bounded Borel measurable function on [0, ∞). In this article we give a sufficient condition on m for the operator to extend to an operator bounded on LP(G), 1 < p < ∞, and also from L1(G) to weak-L-1(G). © 1994 American Mathematical Society.