Abstract
AbstractWe prove $$L^p$$
L
p
-bounds for the bilinear Hilbert transform acting on functions valued in intermediate UMD spaces. Such bounds were previously unknown for UMD spaces that are not Banach lattices. Our proof relies on bounds on embeddings from Bochner spaces $$L^p(\mathbb {R};X)$$
L
p
(
R
;
X
)
into outer Lebesgue spaces on the time-frequency-scale space $$\mathbb {R}^3_+$$
R
+
3
.
Funder
Alexander von Humboldt-Stiftung
Publisher
Springer Science and Business Media LLC
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