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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…
math.CA2017
Approximation in higher-order Sobolev spaces and Hodge systems
Pierre Bousquet, Emmanuel Russ, Yi Wang +1
Let be an integer, and be a differential -form on with coefficients. It was proved by Bourgain and Brezis (\cite[…