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math.CA2018
Martingale approach to Sobolev embedding theorems
Rami Ayoush, Dmitriy Stolyarov, Michal Wojciechowski
We prove a martingale analog of van Schaftingen's theorem and give sharp estimates on the lower Hausdorff dimension of measures in martingale shift invariant spaces. We also provid…
math.CA2018
Restrictions of higher derivatives of the Fourier transform
Michael Goldberg, Dmitriy Stolyarov
We consider several problems related to the restriction of to a surface with nonvanishing Gauss curvature. While such restrictions clear…