35 citations · 210 across the 41 of their papers we have counts for
6 papers · 2 filters
Single annulus estimates for the variation-norm Hilbert transforms along Lipschitz vector fields
Shaoming Guo
Let v be a planar Lipschitz vector field. We prove that the r-th variation-norm Hilbert transform along v, composed with a standard Littlewood-Paley projection operator P_k, is bou…
Maximal operators and Hilbert transforms along variable non-flat homogeneous curves
Shaoming Guo, Jonathan Hickman, Victor Lie +1
We prove that the maximal operator associated with variable homogeneous planar curves , positive, is bounded on for each…
Sharp decouplings for three dimensional manifolds in
Ciprian Demeter, Shaoming Guo, Fangye Shi
We prove a sharp decoupling for a class of three dimensional manifolds in .
Schrödinger maximal function estimates via the pseudoconformal transformation
Ciprian Demeter, Shaoming Guo
We present an alternative way to recover the recent result from \cite{LR} using the pseudoconformal transformation.
Hilbert transforms along Lipschitz direction fields: A lacunary model
Shaoming Guo, Christoph Thiele
We prove bounds for the truncated directional Hilbert transform in for any under a combination of a Lipschitz assumption and a lacunarity assumptio…
Remarks on Wolff's inequality for hypersurfaces
Shaoming Guo, Changkeun Oh
We run an iteration argument due to Pramanik and Seeger, to provide a proof of sharp decoupling inequalities for conical surfaces and for -cones. These are extensions of results…