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Rearrangement-Invariant Spaces of Functions on LCA Groups

✍ Scribed by Archil Gulisashvili


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
343 KB
Volume
156
Category
Article
ISSN
0022-1236

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✦ Synopsis


In this paper the rearrangement-invariant hulls and kernels of the classes

loc ] on a noncompact nondiscrete locally compact abelian group are characterized. The space L 1 loc & S$ of tempered distributions serves as the extended domain of the Fourier transform instead of the classical domain L 1 +L 2 . We also introduce and study a new function space P 0 which arises as the rearrangement-invariant hull of some of the classes under consideration.


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On Homogeneous Spaces of Metric Groups
✍ JΓΌrgen Flachsmeyer πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 416 KB

Now 6 and rjt are open, hence r] is open. Then ' p is open because i, and i, are topological. c]