Abstract
We prove generalized Carleson embeddings for the continuous wave packet transform from Lp(R,w) into an outer Lp space over R×R×(0,∞) for 2<p<∞ and weight w∈Ap/2. This work is a weighted extension of the corresponding Lebesgue result in [13] and generalizes a similar result in [10]. The proof in this article relies on L2 restriction estimates for the wave packet transform which are geometric and may be of independent interest.
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