Families of surfaces lying in a null set
Laura Wisewell
Abstract
We generalise a result of Sawyer to show the following: For each y∈ Rp and w∈ Rq let Γ(y,w) be a measurable d-dimensional surface in Rn. Under conditions on the number of parameters and smoothness assumptions, there exists a set of measure zero that includes a Γ(y,w) for every y.
Create a lesson
Related papers
Sharp mixed Ap-A∞ estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
Lp Decay Estimates for Circular Means of Fractal Measures in R2
Zhenbin Cao, Feilong Guo, Junfeng Li
The divergence set for the wave equation in higher dimensions
Xiumin Du, Terence L. J. Harris, Jianhui Li
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
Rigorous analysis of giant magnetic vortex strings
Ovidiu Avadanei, Wilhelm Schlag
Multilinear Mikhlin Multipliers with Degenerate Singularities
Hanaë Vandanjon