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Asymmetry of twisted convolution operators

โœ Scribed by Anna Maria Mantero


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
654 KB
Volume
47
Category
Article
ISSN
0022-1236

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Asymmetry of Convolution Norms on Lie Gr
โœ A.H. Dooley; Sanjiv Kumar Gupta; Fulvio Ricci ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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