Carleson Measure in Bergman-Orlicz Space of Polydisc

الملخص EN

Let μ be a finite, positive measure on ?n, the polydisc in ℂn, and let σn be 2n-dimensional Lebesgue volume measure on ?n.

For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(?n,σn)→Lφ(?n,μ) is bounded.