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On limits of Riemann sums and the range of integrals

✍ Scribed by Philip Hartman


Publisher
Springer
Year
1968
Tongue
English
Weight
756 KB
Volume
176
Category
Article
ISSN
0025-5831

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On the Riemann Summability of Fourier In
✍ Ferenc MΓ³ricz πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 213 KB πŸ‘ 2 views

We consider the Riemann means of single and multiple Fourier integrals of functions belonging to L 1 or the real Hardy spaces defined on IR n , where n β‰₯ 1 is an integer. We prove that the maximal Riemann operator is bounded both from H 1 (IR) into L 1 (IR) and from L 1 (IR) into weak -L 1 (IR). We