Maximal function and Carleson measures in the theory of Békollé-Bonami weights

• Autorzy: Carnot D. Kenfack , Benoît F. Sehba
• Języki publikacji: EN

Abstrakty

EN

Let ω be a Békollé-Bonami weight. We give a complete characterization of the positive measures μ such that
$∫_{𝓗} |M_{ω}f(z)|^{q} dμ(z) ≤ C(∫_{𝓗} |f(z)|^{p} ω(z)dV(z))^{q/p}$
and
$μ({z ∈ 𝓗 : Mf(z) > λ}) ≤ C/(λ^{q})(∫_{𝓗} |f(z)|^{p} ω(z)dV(z))^{q/p}$,
where $M_{ω}$ is the weighted Hardy-Littlewood maximal function on the upper half-plane 𝓗 and 1 ≤ p,q <; ∞.

Kategorie tematyczne

• 42A61: Probabilistic methods
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 2
• Strony: 211-226

Daty

wydano

2016

Twórcy

autor

Carnot D. Kenfack

• Département de Mathématiques, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun

autor

Benoît F. Sehba

• Department of Mathematics, University of Ghana, Legon, P.O. Box LG 62, Legon, Accra, Ghana

Identyfikatory

DOI

10.4064/cm142-2-4