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Article
The Sobolev Inequality on the Torus Revisited
Publicationes Mathematicae Debrecen
  • Árpád Bényi, Western Washington University
  • Tadahiro Oh
Document Type
Article
Publication Date
1-1-2013
Disciplines
Abstract

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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This version is the author's post print.

Comments

This version is the author's post print.

Language
English
Format
application/pdf
Citation Information
Árpád Bényi and Tadahiro Oh. "The Sobolev Inequality on the Torus Revisited" Publicationes Mathematicae Debrecen Vol. 83 Iss. 3 (2013) p. 359 - 374
Available at: http://works.bepress.com/arpad_benyi/9/