Generalized Carleson embeddings into weighted outer measure spaces

We prove generalized Carleson embeddings for the continuous wave packet transform from L p ( R , w ) into an outer space over × 0 ∞ 2 < and weight ∈ A / . This work is a weighted extension of corresponding Lebesgue result in [13] generalizes similar [10] The proof this article relies on restriction estimates which are geometric may be independent interest.