Title
A characterization of functions with vanishing averages over products of disjoint sets
Abstract
Given α 1 , ¿ , α m ¿ ( 0 , 1 ) , we characterize all integrable functions f : 0 , 1 m ¿ C satisfying ¿ A 1 × ¿ × A m f = 0 for any collection of disjoint measurable sets A 1 , ¿ , A m ¿ 0 , 1 of respective measures α 1 , ¿ , α m . We use this characterization to settle some of the conjectures in Janson and Sós (2015) about the relation between subgraph counts and quasi-randomness.
Year
DOI
Venue
2016
10.1016/j.ejc.2016.03.002
Eur. J. Comb.
Field
DocType
Volume
Integrable system,Discrete mathematics,Combinatorics,Disjoint sets,Measure (mathematics),Mathematics
Journal
56
Issue
ISSN
Citations 
C
0195-6698
1
PageRank 
References 
Authors
0.36
3
3
Name
Order
Citations
PageRank
Hamed Hatami121623.09
Pooya Hatami29414.40
yaqiao li311.72