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Sobolev and Trudinger type inequalities for Lie groups and Riemannian manifolds. (Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes de Lie et les variétés riemanniennes.) (French) Zbl 0746.58075
The author proves Sobolev and Trudinger type inequalities on Riemannian manifolds and Lie groups. The method involves an examination of distribution functions and rearrangements. Of particular interest are estimates in the Orlicz exponential class.
MSC:
58J40 Pseudodifferential and Fourier integral operators on manifolds
35Q05 Euler-Poisson-Darboux equations
43A85 Harmonic analysis on homogeneous spaces
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