Estimates for the Norm of Generalized Maximal Operator on Strong Product of Graphs

Let G=G1×G2×⋯×Gm be the strong product of simple, finite connected graphs, and let ϕ:ℕ⟶0,∞ be an increasing function. We consider the action of generalized maximal operator MGϕ on ℓp spaces. We determine the exact value of ℓp-quasi-norm of MGϕ for the case when G is strong product of complete graphs...

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Bibliographic Details
Main Authors: Zaryab Hussain, Ghulam Murtaza, Toqeer Mahmood, Jia-Bao Liu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/9338269