Abstract
The current article investigates the boundedness criteria for the commutator of roughp-adic fractional Hardy operator on weightedp-adic Lebesgue and Herz-type spaces with the symbol function from weightedp-adic bounded mean oscillations and weightedp-adic Lipschitz spaces.
Highlights
For a fixed prime p, it is always possible to write a nonzero rational number x in the form x pc(m/n), where p is not divisible by m, n ∈ Z and c is an integer. e p-adic norm is defined as |x|p p− c ∪ {0}: c ∈ Z. e p-adic norm | · |p fulfills all the properties of a real norm along with a stronger inequality:|x + y|p ≤ max|x|p, |y|p. (1)e completion of the field of rational number with respect to | · |p leads to the field of p-adic numbers Qp
E completion of the field of rational number with respect to | · |p leads to the field of p-adic numbers Qp
HpΩ,α and e aim of the present paper is to study the weighted central mean oscillations (CMO) and weighted p-adic Lipschitz estimates of HpΩ,bα on weighted p-adic function spaces like weighted p-adic Lebesgue spaces, weighted p-adic Herz spaces and p-adic Herz–Morrey spaces
Summary
E current article investigates the boundedness criteria for the commutator of rough p-adic fractional Hardy operator on weighted p-adic Lebesgue and Herz-type spaces with the symbol function from weighted p-adic bounded mean oscillations and weighted p-adic Lipschitz spaces
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