Singular sets of Sobolev functions

By D. Zubrinic. 2002

46 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/8712306d0518991627c308c514813742618eb935

Citations in the corpus

• Average decay of the Fourier transform of measures with applications (2015, unknown): “Indeed αn(s) ≤ n− 2s, if n4 ≤ s ≤ n2 , and this bound is sharp in the sense that initial data in H can be singular on α-dimensional sets when α < n − 2s; see [42].”
• POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018, unknown): “αn(s) ≥    n, s < n 2(n+1) (Bourgain [4]) n+ n n−1 − 2(n+1)s n−1 , n 2(n+1) ≤ s < n+1 8 (Lucà-Rogers [16]) n+ 1− 2(n+2)s n , n+1 8 ≤ s < n 4 (Lucà-Rogers [15]) n− 2s, n4 ≤ s ≤ n 2 (Žubrinić [18]).”