Ramsey-type theorems for sets satisfying a geometric regularity condition

DOI10.1016/j.jmaa.2016.10.047zbMath1368.05149OpenAlexW2538984056MaRDI QIDQ342924

Mohammad Hasan, M. Dambrine

Publication date: 18 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.10.047

zbMATH Keywords

convex setsmaximal operatorsRamsey theoryregularity condition

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Ramsey theory (05D10) Combinatorial complexity of geometric structures (52C45)

Cites Work

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• Ramsey-type constructions for arrangements of segments
• Differentiation of integrals in \(\mathbb{R}^n\)
• A decomposition theorem for partially ordered sets
• A Ramsey-Type Result for Convex Sets
• Some remarks on the theory of graphs

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