Compactness of Fractional Maximal Operator in Weighted and  Variable Exponent Spaces

Akın, Lütfi

doi:10.18185/erzifbed.435762

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2020

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“…Definition 1. [21] Given an open set Ω ⊂ R n and a, 0 < a < n. Fractional maximal operator M a f is defined as follows…”

Section: Preliminariesmentioning

confidence: 99%

On the Fractional Maximal Delta Integral Type Inequalities on Time Scales

Akın

2020

Fractal Fract

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Time scales have been the target of work of many mathematicians for more than a quarter century. Some of these studies are of inequalities and dynamic integrals. Inequalities and fractional maximal integrals have an important place in these studies. For example, inequalities and integrals contributed to the solution of many problems in various branches of science. In this paper, we will use fractional maximal integrals to establish integral inequalities on time scales. Moreover, our findings show that inequality is valid for discrete and continuous conditions.

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“…Definition 1. [21] Given an open set Ω ⊂ R n and a, 0 < a < n. Fractional maximal operator M a f is defined as follows…”

Section: Preliminariesmentioning

confidence: 99%