MAXIMAL OPERATOR IN WEIGHTED MORREY SPACES, ASSOCIATED WITH THE LAPLACE-BESSEL DIFFERENTIAL OPERATOR

Authors

• Institute of Mathematics and Mechanics
• L.R. Aliyeva
• Kirikkale University
• Sevgi Esen Almali
• Azerbaijan State Oil and Industry University
• Zaman Safarov

Page

176-183

Abstract

We consider the generalized shift operator, associated with the Laplace-Bessel differential operator. The maximal operator Mγ(B-maximal operator), associated with the generalized shift operator is investigated. At first, we prove that the boundedness of maximal operator weighted Morrey spaces Lp,λ,ω1,γ(Rn k,+) to the spaces Lp,λ,ω2,γ(Rnk,+), where 1 < p < ∞,(ω1, ω2) ∈ Fp,γ(Rnk,+), associated with the Laplace-Bessel differential operator

Recommended Citation

Institute of Mathematics and Mechanics; Aliyeva, L.R.; Kirikkale University; Esen Almali, Sevgi; Azerbaijan State Oil and Industry University; and Safarov, Zaman (2023) "MAXIMAL OPERATOR IN WEIGHTED MORREY SPACES, ASSOCIATED WITH THE LAPLACE-BESSEL DIFFERENTIAL OPERATOR," Baku Mathematical Journal: Vol. 2: Iss. 2, Article 5.
DOI: 10.32010/j.bmj.2023.15
Available at: https://www.bakumathj.org/home/vol2/iss2/5