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Renormings of Lp(Lq)

  • R. DEVILLE (a1), R. GONZALO (a2) and J. A. JARAMILLO (a2)
    • Published online: 01 January 1999

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.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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