ESTIMATES FOR THE NORM OF THE SPHERICAL MAXIMAL OPERATOR ON FINITE GRAPHS.

Autor: HUSSAIN, ZARYAB, JIAN ZHONG XU, TCHIER, FAIROUZ, TALIB, SADIA, RAZA, UMAR, ARSHAD, MUHAMMAD
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Zdroj: Journal of Mathematical Inequalities; Jun2024, Vol. 18 Issue 2, p619-629, 11p
Abstrakt: For a simple, finite, and connected graph G, the spherical maximal operator is defined as ... where ... is the sphere with center at t and having radius r. In this paper, we consider the spherical maximal operator ... on ... spaces and calculate the ... for ... and estimate the ... for ..., when G is Km. Furthermore, We establish the maximum and minimum bounds for the spherical maximum operator on finite graphs and indicate the graphs that achieve these bounds. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index