Some Carleson measures for the Hilbert-Hardy space of tube domains over symmetric cones

30 Oct 2017  ·  Békollé David, Sehba Benoît F. ·

In this note, we obtain a full characterization of radial Carleson measures for the Hilbert-Hardy space on tube domains over symmetric cones. For large derivatives, we also obtain a full characterization of the measures for which the corresponding embedding operator is continuous... Restricting to the case of light cones of dimension three, we prove that by freezing one or two variables, the problem of embedding derivatives of the Hilbert-Hardy space into Lebesgue spaces reduces to the characterization of Carleson measures for Hilbert-Bergman spaces of the upper-half plane or the product of two upper-half planes. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Classical Analysis and ODEs Complex Variables