Unboundedness for some strong maximal functions on weighted Lebesgue spaces

DOI10.1016/J.JMAA.2022.126216zbMath1494.42021OpenAlexW4220687395MaRDI QIDQ2134428

Lesley A. Ward, Guillermo J. Flores

Publication date: 3 May 2022

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.2022.126216

zbMATH Keywords

strong maximal functionsLesbesgue spacesmultiparameter dilations

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Examples and counterexamples to a conjecture in the theory of differentiation of integrals
• Multiparameter singular integrals and maximal functions
• Commutators of multiparameter flag singular integrals and applications
• Sparse domination and the strong maximal function
• Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases
• Multiparameter operators and sharp weighted inequalities
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• The strong maximal function with respect to measures
• Strong Differentiation with Respect to Measures
• Weak type inequalities for product operators

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