Journal
PUBLICATIONES MATHEMATICAE DEBRECEN
Volume 83, Issue 3, Pages 359-374Publisher
Univ Debrecen, Inst Mathematics
DOI: 10.5486/PMD.2013.5529
Keywords
Sobolev spaces; Sobolev inequality; Fourier series; Bessel potential; Riesz potential; maximal function
Categories
Funding
- Simons Foundation [246024]
- AMS-Simons Travel Grant
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We revisit the Sobolev inequality for periodic functions on the d-dimensional torus. We provide an elementary Fourier analytic proof of this inequality which highlights both the similarities and differences between the periodic setting and the classical d-dimensional Euclidean one.
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