We prove that on most connected non-commutative Lie groups there exists a convolution operator which is bounded on L p but unbounded on L q 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
β¦ LIBER β¦
On the asymmetry of norms of convolution operators. I
β Scribed by C Herz
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 576 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0022-1236
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