A characterization of functions with vanishing averages over products of disjoint sets

@article{Hatami2016ACO,
  title={A characterization of functions with vanishing averages over products of disjoint sets},
  author={Hamed Hatami and P. Hatami and Yaqiao Li},
  journal={Eur. J. Comb.},
  year={2016},
  volume={56},
  pages={81-93}
}
  • Hamed Hatami, P. Hatami, Yaqiao Li
  • Published 2016
  • Computer Science, Mathematics
  • Eur. J. Comb.
  • 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 Sos (2015) about the relation between subgraph counts and quasi-randomness. 
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