Weak-type maximal function estimates on the infinite-dimensional torus

DOI10.1007/s00209-023-03302-wzbMath1526.43005arXiv2211.11641OpenAlexW4381090090MaRDI QIDQ6160247

Dariusz Kosz, Guillermo Rey, Luz Roncal

Publication date: 23 June 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.11641

zbMATH Keywords

maximal operatorinfinite-dimensional torusweak-type estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• Estimation of moments of sums of independent real random variables
• A decomposition of Calderón-Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Maximal operators on the infinite-dimensional torus
• On quasi-metric and metric spaces
• A geometric proof of the strong maximal theorem
• On restricted weak type (1,1): The continuous case
• On differentiation of integrals\cr in the infinite-dimensional torus
• On Restricted Weak Type (1, 1)
• ON THE DOUBLING CONDITION IN THE INFINITE-DIMENSIONAL SETTING
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