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On generalizations of an inequality due to Pólya and Szegő

✍ Scribed by E. Makai


Publisher
Akadmiai Kiad
Year
1964
Tongue
English
Weight
120 KB
Volume
12
Category
Article
ISSN
1588-2632

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Polar factorization and pseudo-rearrange
✍ Adele Ferone; Roberta Volpicelli 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 244 KB

We are interested in the polar factorization of a function f deÿned in an open bounded set ⊆ R N . It is well known that there exists a measure preserving map such that f=f \* • where f \* is the decreasing rearrangement of f. We prove that, under suitable assumptions, besides the classical polar fa