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A First Course in Sobolev Spaces
Giovanni Leoni 
Publication Year: 2009
ISBN-10: 0-8218-4768-6
ISBN-13: 978-0-8218-4768-8
Graduate Studies in Mathematics, vol. 105

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This page is maintained by the author.

Contact information:

• Giovanni Leoni
• Department of Mathematical Sciences
• Carnegie Mellon University
• 5000 Forbes Avenue
• Pittsburgh, PA 15213
• giovanni@andrew.cmu.edu
• http://www.math.cmu.edu/math/faculty/leoni.html

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Corrections and Improvements as a PDF file.  Posted 08-September-2010.  [45 KB]

Dedication page as a PDF file. Posted 24-September-2009. [10 KB]

An extension of the Sobolev--Gagliardo--Nirenberg theorem as a PDF file.  Posted 05-August-2009. [109 KB]

Traces of functions in W^{k,p}(Half space) as a PDF file.  Posted 24-September-2009. [115 KB]

Higher order Besov spaces as a PDF file.  Posted 24-September-2009. [228 KB]

An alternative proof of Proposition 16.21 as a PDF file.  Posted 30-June-2011.  [81 KB] 

Riesz potentials and embedding theorems as a PDF file.  Posted 13-May-2010.  [155 KB]

Interpolation for intermediate derivatives as a PDF file.  Posted 29-July-2010.  [144 KB]

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Reviews

From Math Reviews: as PDF [62 KB], as active link

From Zentralblatt: as PDF [60 KB], as active link

From the MAA:  as PDF [36 KB], as active link

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