Abstract
Rearrangements of functions have proved to be a fairly interesting tool in analysis. Systematically introduced by Hardy & Littlewood, they have been used by a number of authors in real and harmonic analysis, in investigations about singular integrals, function spaces and interpolation theory. See [2, 3, 5–8] for instance. Pólya & Szegö and their followers have demonstrated a good many isoperimetric theorems and inequalities by means of rearrangements—[9] is a source book for this matter. More recent investigations have shown that rearrangements of functions also fit well into the theory of elliptic second-order partial differential equations. See [4, 11], for example, and the references cited therein.
A James Serrin, con stima ed amicizia
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References
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© 1989 Springer-Verlag Berlin Heidelberg
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Talenti, G. (1989). Assembling a Rearrangement. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_28
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DOI: https://doi.org/10.1007/978-3-642-83743-2_28
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