E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Journal:
Mathematische Annalen
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ISSN:
0025-5831
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Date (published):
2022
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Number of Pages:
25
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Publisher:
SPRINGER HEIDELBERG
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Peer reviewed:
Yes
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Keywords:
fractional Sobolev inequality; projection body
en
Abstract:
Sharp affine fractional Lp Sobolev inequalities for functions on Rn are established. The new inequalities are stronger than (and directly imply) the sharp fractional Lp Sobolev inequalities. They are fractional versions of the affine Lp Sobolev inequalities of Lutwak, Yang, and Zhang. In addition, affine fractional asymmetric Lp Sobolev inequalities are established.
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Project title:
Bewertungen auf konvexen Funktionen: P 34446-N (FWF - Österr. Wissenschaftsfonds)
