Title of article
Asymmetry of Convolution Norms on Lie Groups
Author/Authors
Dooley، نويسنده , , A.H. and Gupta، نويسنده , , Sanjiv Kumar and Ricci، نويسنده , , Fulvio، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
18
From page
399
To page
416
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.
Journal title
Journal of Functional Analysis
Serial Year
2000
Journal title
Journal of Functional Analysis
Record number
1549933
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