A p Weights in Directionally ( γ, m ) Limited Space and Applications

Yu Yan, Yiming Wang and Yiming Lei ()
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Yu Yan: School of Economics, Peking University, Beijing 100871, China
Yiming Wang: School of Economics, Peking University, Beijing 100871, China
Yiming Lei: PetroChina Research Institute of Petroleum Exploration & Development, Beijing 100034, China

Mathematics, 2022, vol. 10, issue 19, 1-13

Abstract: Let ( X , d ) be a directionally ( γ , m ) -limited space with every γ ∈ ( 0 , ∞ ) . In this setting, we aim to study an analogue of the classical theory of A p ( μ ) weights. As an application, we establish some weighted estimates for the Hardy–Littlewood maximal operator. Then, we introduce the relationship between directionally ( γ , m ) -limited spaceand geometric doubling. Finally, we obtain the weighted norm inequalities of the Calderón–Zygmund operator and commutator in non-homogeneous space.

Keywords: directionally ( ? , m )-limited; A p weight; non-homogeneous space; Hardy–Littlewood maximal operator; Calderón–Zygmund-type operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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