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math.CA2026
Sparse bounds for rough non-translation-invariant Calderón-Zygmund operators
Yanping Chen, Teng Wang
In this paper, we establish sparse bounds for singular integral operators with rough non-translation-invariant Calderón-Zygmund kernels. Our approach verifies the localized hypothe…
math.CA2013
Restriction estimates via the derivatives of the heat semigroup and connexion with dispersive estimates
Frederic Bernicot, El Maati Ouhabaz
We consider an abstract non-negative self-adjoint operator on an -space. We derive a characterization for the restriction estimate $\| dE_H(λ) \|_{L^p \to L^{p'}} \le C λ^…