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Sobolev inequalities: Symmetrization and self-improvement via truncation |
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| Authors: | Joaquim Martin Evgeniy Pustylnik |
| Institution: | a Department of Mathematics, Universidad Autonoma de Barcelona, Spain b Department of Mathematics, Florida Atlantic University, USA c Department of Mathematics, Technion, Israel Institute of Technology, Israel |
| Abstract: | 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. |
| Keywords: | Sobolev Inequalities Self-improving Truncation Symmetrization |
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