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Refined Sobolev Inequalities in Lorentz Spaces

2011; Birkhäuser; Volume: 17; Issue: 4 Linguagem: Inglês

10.1007/s00041-011-9171-8

ISSN

1531-5851

Autores

Hajer Bahouri, Albert Cohen,

Tópico(s)

Advanced Mathematical Physics Problems

Resumo

We establish refined Sobolev inequalities between the Lorentz spaces and homogeneous Besov spaces. The sharpness of these inequalities is illustrated on several examples, in particular based on non-uniformly oscillating functions known as chirps. These results are also used to derive refined Hardy inequalities.

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