Abstract
In the current article, we investigate the boundedness of commutators of the bilinear fractionalp-adic Hardy operator onp-adic Herz spaces andp-adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and Lipschitz spaces.
Highlights
Wu [30] defined the p-adic fractional Hardy operator as: Journal of Function Spaces
For every x ≠ 0, there is a unique γ = γðxÞ ∈ Z such that x = pγm/n, where p ≥ 2 is a fixed prime number which is coprime to m, n ∈ Z: The mapping j·jp : Q → R+ defines a norm on Q with a range f0g ∪ fpγ : γ ∈ Zg: ð1ÞIt follows from Ostrowski’s theorem that each nontrivial absolute value on Q is either the p-adic absolute value j·jp or usual absolute value j·j
The aim of this article is to establish the CMO and Lipschitz estimates for commutators of a bilinear fractional p-adic Hardy operator on p -adic function spaces such as p-adic Herz spaces and Morrey-Herz spaces
Summary
Wu [30] defined the p-adic fractional Hardy operator as: Journal of Function Spaces The commutator estimates of fractional Hardy-type operators on Herz spaces were obtained in [30, 32]. The articles [33, 34] are important with regard to the study of p-adic Hardy operators on function spaces.
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