Let H^(s,b) be the wave-Sobolev on the Minkowski space-time R^(1+n), with Fourier weights adapted to the symbol of the D’Alembertian. We determine an optimal set of necessary conditions for a product estimate H^(s1 ,b1) · H^(s2 ,b2) → H^(−s0 ,−b0) to hold in the cases when n=1 or n=2.
Product estimates for wave-Sobolev spaces in 2+1 and 1+1 dimensions
FOSCHI, Damiano;
2010
Abstract
Let H^(s,b) be the wave-Sobolev on the Minkowski space-time R^(1+n), with Fourier weights adapted to the symbol of the D’Alembertian. We determine an optimal set of necessary conditions for a product estimate H^(s1 ,b1) · H^(s2 ,b2) → H^(−s0 ,−b0) to hold in the cases when n=1 or n=2.File in questo prodotto:
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