Answers are grounded in this paper and cite their sources.
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.
No takes yet. Share an insight, caveat, or question.
Bényi et al. (2013) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: