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math.AP2026
Hierarchical paraproducts
Oluwadamilola Fasina
We outline an extension of paraproduct decompositions for compositions of the form where developed in [arXiv:2503.12629] and [a…
math.AP2025
D-tensor paraproducts and its caricatures
Oluwadamilola Fasina
We generalize the -tensor paraproduct decomposition result of [arXiv:2503.12629] to -tensors. In particular, we show that for , $…
math.AP2025
Quasilinearization with regularizing tensor paraproducts
Oluwadamilola Fasina
We extend Bony's celebrated work on paraproducts to continous and multiscale \emph{tensor} paraproducts. For and $f \in Λ_α([0,1]^2, d_d(x,y)^α \t…