Skew Carleson measures in strongly pseudoconvex domains

Marco Abate (1) , Jasmin Raissy (2)

1 Dipartimento di Matematica [Pisa]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Given a bounded strongly pseudoconvex domain D in C n with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ, γ)-skew Carleson measures on D, with λ > 0 and γ > 1 − 1 n+1 .

Domaines: Variables complexes [math.CV]; Analyse fonctionnelle [math.FA]

Marco Abate, Jasmin Raissy. Skew Carleson measures in strongly pseudoconvex domains . Complex Analysis and Operator Theory, 2018, ⟨10.1007/s11785-018-0823-4⟩. ⟨hal-01610760⟩