Displaying similar documents to “Maximal estimates for nonsymmetric semigroups”

On the theorem of Ivasev-Musatov. I

Thomas-William Korner (1977)

Annales de l'institut Fourier

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We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.

Homogeneous Carnot groups related to sets of vector fields

Andrea Bonfiglioli (2004)

Bollettino dell'Unione Matematica Italiana

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In this paper, we are concerned with the following problem: given a set of smooth vector fields X 1 , , X m on R N , we ask whether there exists a homogeneous Carnot group G = ( R N , , δ λ ) such that i X i 2 is a sub-Laplacian on G . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we...