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math.CA2017★ 5 cited
Bounds for anisotropic Carleson operators
Joris Roos
We prove weak bounds for maximally modulated anisotropically homogeneous smooth multipliers on . These can be understood as generalizing the classical one-dim…
math.CA2017★ 14 cited
Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem
Shaoming Guo, Joris Roos, Po-Lam Yung
We prove variation-norm estimates for certain oscillatory integrals related to Carleson's theorem. Bounds for the corresponding maximal operators were first proven by Stein and Wai…