Algebra properties for Besov spaces on unimodular Lie groups
Tom 154 / 2018
Colloquium Mathematicum 154 (2018), 205-240
MSC: Primary 46E35; Secondary 43A15, 35S50.
DOI: 10.4064/cm6649-12-2017
Opublikowany online: 10 September 2018
Streszczenie
We consider the Besov space on a unimodular Lie group G equipped with a sublaplacian \varDelta . Using estimates of the heat kernel associated with \varDelta , we give several characterizations of Besov spaces, and show an algebra property for B^{p,q}_\alpha (G) \cap L^\infty (G) when \alpha \gt 0 and 1\leq p,q\leq \infty . These results hold for polynomial as well as for exponential volume growth of balls.
