Weak type (1,1) estimates for a class of discrete rough maximal functions

• Autores: Román Urban, Jacek Zienkiewicz
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 2, 2007, págs. 227-237
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n2.a6
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• Resumen

  • We prove weak type $(1,1)$ estimate for the maximal function associated with the sequence $[m^\alpha],$ $1<\alpha < 1+\frac{1}{1000}$. As a consequence, the sequence $[m^\alpha]$ is universally $L^1$-good.