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Besov algebras on Lie groups of polynomial growth

100%

Gallagher I., Sire Y.

Studia Mathematica

2012

tom 212

nr 2

119-139

We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.

Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds

100%

Russ E., Sire Y.

Studia Mathematica

2011

tom 203

nr 2

105-127

Let G be a real connected Lie group with polynomial volume growth endowed with its Haar measuredx. Given a C² positive bounded integrable function M on G, we give a sufficient condition for an L² Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a nonlocal Poincaré inequality on G with respect to M(x)dx. We also give analogous Poincaré inequalities on Riemannian manifolds and deal with the case of Hardy inequalities.

Ograniczanie wyników

2 Studia Mathematica

2 Sire Y.

1 Gallagher I.

1 Russ E.

1 2012

1 2011

Wyniki wyszukiwania

Besov algebras on Lie groups of polynomial growth

Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds