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math.CA2025
An Theorem for One-Sided Calderón-Zygmund Operators
A. Walton Green, Ljupcho Petrov, Brett D. Wick
We present a proof of the one-sided theorem in dimension one, with a logarithmic loss. This theorem concerns one-sided Calderón-Zygmund operators (CZOs) whose kernels $K(x,y)…
math.CA2024
Multilinear paraproducts on Sobolev spaces
Francesco Di Plinio, A. Walton Green, Brett D. Wick
Paraproducts are a special subclass of the multilinear Calderón-Zygmund operators, and their Lebesgue space estimates in the full multilinear range are characterized by the $\mathr…
math.CA2023
Multilinear Wavelet Compact T(1) Theorem
Anastasios Fragkos, A. Walton Green, Brett D. Wick
We prove a wavelet theorem for compactness of multilinear Calderón-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a…