2000 character limit reached
Generalized Carleson Embeddings into Weighted Outer Measure Spaces (2007.13997v1)
Published 28 Jul 2020 in math.CA
Abstract: We prove generalized Carleson embeddings for the continuous wave packet transform from $Lp(\mathbb{R},w)$ into an outer $Lp$ space for $2< p < \infty$ and weight $w \in A_{p/2}$. This work is a weighted extension of the corresponding Lebesgue result in arXiv:1309.0945v3 and generalizes a similar result in arXiv:1207.1150. The proof in this article relies on $L2$ restriction estimates for the wave packet transform which are geometric and may be of independent interest.