TY - JOUR
TI - Lp regular sparse hypergraphs: Box norms
AU - Dodos, P.
AU - Kanellopoulos, V.
AU - Karageorgos, T.
JO - Fundamenta Mathematicae
PY - 2020
VL - 248
TODO - 1
SP - 49-77
PB - Institute of Mathematics. Polish Academy of Sciences
SN - 0016-2736, 1730-6329
TODO - 10.4064/fm656-10-2018
TODO - null
TODO - We consider some variants of the Gowers box norms, introduced by Hatami, and show their relevance in the context of sparse hypergraphs. Our main results are the following. Firstly, we prove a generalized von Neumann theorem for Lp graphons. Secondly, we give natural examples of pseudorandom families, that is, sparse weighted uniform hypergraphs which satisfy relative versions of the counting and removal lemmas. © Instytut Matematyczny PAN, 2020.
ER -