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Norms of harmonic projection operators on compact Lie groups

✍ Scribed by Ermanno Giacalone; Fulvio Ricci

Publisher
Springer
Year
1988
Tongue
English
Weight
420 KB
Volume
280
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

Asymmetry of Convolution Norms on Lie Gr
Asymmetry of Convolution Norms on Lie Groups
✍ A.H. Dooley; Sanjiv Kumar Gupta; Fulvio Ricci πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 151 KB

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