7 papers
BMO spaces on weighted homogeneous trees
Laura Arditti, Anita Tabacco, Maria Vallarino
We consider an infinite homogeneous tree endowed with the usual metric defined on graphs and a weighted measure . The metric measure space is…
Estimates for matrix coefficients of representations
Tommaso Bruno, Michael G. Cowling, Fabio Nicola +1
Estimates for matrix coefficients of unitary representations of semisimple Lie groups have been studied for a long time, starting with the seminal work by Bargmann, by Ehrenpreis a…
Hardy spaces on weighted homogeneous trees
Laura Arditti, Anita Tabacco, Maria Vallarino
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a weighted measure μ. The metric measure space V,d,μ) is nondoubling and of exponen…
Sobolev spaces on Lie groups: embedding theorems and algebra properties
Tommaso Bruno, Marco M. Peloso, Anita Tabacco +1
Let be a noncompact connected Lie group, denote with a right Haar measure and choose a family of linearly independent left-invariant vector fields on satis…
Highly oscillatory unimodular Fourier multipliers on modulation spaces
Fabio Nicola, Eva Primo, Anita Tabacco
We study the continuity on the modulation spaces of Fourier multipliers with symbols of the type , for some real-valued function . A number of results ar…
Strichartz estimates for the metaplectic representation
Alessandra Cauli, Fabio Nicola, Anita Tabacco
Strichartz estimates are a manifestation of a dispersion phenomenon, exhibited by certain partial differential equations, which is detected by suitable Lebesgue space norms. In mos…