Abstract
We prove that on most connected non-commutative Lie groups there exists a convolution operator which is bounded on Lp but unbounded on Lq for every q not belonging to the interval with endpoints 2 and p. Furthermore, the kernel of such an operator can be supported on an arbitrary neighbourhood of the identity.
Original language | English |
---|---|
Pages (from-to) | 399-416 |
Number of pages | 18 |
Journal | Journal of Functional Analysis |
Volume | 174 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jul 10 2000 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis