Article contents
Renormings of Lp(Lq)
Published online by Cambridge University Press: 01 January 1999
Abstract
We investigate the best order of smoothness of Lp(Lq). We prove in particular that there exists a [Cscr ]∞-smooth bump function on Lp(Lq) if and only if p and q are even integers and p is a multiple of q.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 1 , January 1999 , pp. 155 - 169
- Copyright
- The Cambridge Philosophical Society 1999
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