Sobolev Inequalities: Symmetrization and Self Improvement via Truncation

Details Sobolev Inequalities: Symmetrization and Self Improvement via Truncation Sobolev Inequalities: Symmetrization and Self Improvement via Truncation

2007-03-12

arxiv.org/abs/math/0703318v1

J. Funct. Anal. (2007)

Mathematics

Functional Analysis

16 pages

Scientific paper

10.1016/j.jfa.2007.05.017

We develop a new method to obtain symmetrization inequalities of Sobolev
type. Our approach leads to new inequalities and considerable simplification in
the theory of embeddings of Sobolev spaces based on rearrangement invariant
spaces.

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