Two-weighted inequalities of maximal commutators in the modified Morrey spaces, associated with the Laplace-Bessel differential operator

Authors

• Azerbaijan State Oil and Industry University
• R. G. AZIZOVA
• Z. V. SAFAROV

Page

35-46

Abstract

We consider the generalized shift operator, associated with the LaplaceBessel differential operator ∆B =∑ni=1∂2∂x2i+∑ki=1γixi∂∂xi. The maximal commutators Mb,γ, associated with the generalized shift operator are investigated. At first, we prove that the maximal commutators is bounded from the modified Morrey space Lep,λ,φ1,γ(Rnk,+) to Lep,λ,φ1,γ(R n k,+) for all 1 < p < ∞, b ∈ BMOγ(Rnk,+), (φ1, φ2) ∈ Aep,γ(Rnk,+).

Recommended Citation

Azerbaijan State Oil and Industry University; AZIZOVA, R. G.; and SAFAROV, Z. V. (2023) "Two-weighted inequalities of maximal commutators in the modified Morrey spaces, associated with the Laplace-Bessel differential operator," Baku Mathematical Journal: Vol. 2: Iss. 1, Article 3.
DOI: 10.32010/j.bmj.2023.03
Available at: https://www.bakumathj.org/home/vol2/iss1/3