Weighted norm inequalities for maximal singular integrals with nondoubling measures

• Autorzy: Guoen Hu , Dachun Yang
• Języki publikacji: EN

Abstrakty

EN

Let μ be a nonnegative Radon measure on $ℝ^{d}$ which satisfies μ(B(x,r)) ≤ Crⁿ for any $x ∈ ℝ^{d}$ and r > 0 and some positive constants C and n ∈ (0,d]. In this paper, some weighted norm inequalities with $A_{p}^{ϱ}(μ)$ weights of Muckenhoupt type are obtained for maximal singular integral operators with such a measure μ, via certain weighted estimates with $A_{∞}^{ϱ}(μ)$ weights of Muckenhoupt type involving the John-Strömberg maximal operator and the John-Strömberg sharp maximal operator, where ϱ,p ∈ [1,∞).

Kategorie tematyczne

• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 43A99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 187
• Numer: 2
• Strony: 101-123

Daty

wydano

2008

Twórcy

autor

Guoen Hu

• Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747, Zhengzhou 450002, People's Republic of China

autor

Dachun Yang

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China

Identyfikatory

DOI

10.4064/sm187-2-1