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

Hussain Zaryab; Murtaza Ghulam; Mahmood ToqeerLiu Jia-Bao

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

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

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Let G=G(1)xG(2)x...xG(m) be the strong product of simple, finite connected graphs, and let phi:N (0,infinity) be an increasing function. We consider the action of generalized maximal operator M-G(phi) on l(p) spaces. We determine the exact value of l(p)-quasi-norm of M-G(phi) for the case when G is strong product of complete graphs, where 0p = 1. However, lower and upper bounds of l(p)-norm have been determined when 1pinfinity. Finally, we computed the lower and upper bounds of parallel to M-G(phi)parallel to(p) when G is strong product of arbitrary graphs, where 0p = 1.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2021年第31期|9338269.1-9338269.9|共9页
作者
Hussain Zaryab; Murtaza Ghulam; Mahmood ToqeerLiu Jia-Bao;
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Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China|Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan;

Univ Management & Technol, Sch Sci, Dept Math, Lahore 54000, Pakistan;

Natl Text Univ, Dept Comp Sci, Faisalabad 37610, PakistanAnhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China;

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

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