A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

Akın, Lütfi

doi:10.4208/ata.oa-2018-1006

ATA

2020

DOI: 10.4208/ata.oa-2018-1006

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A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

Lütfi Akın¹

Abstract: A significant number of studies have been carried out on the generalized Lebesgue spaces L p(x) , Sobolev spaces W 1,p(x) and Herz spaces. In this paper, we demonstrated a characterization of boundedness of the fractional maximal operator with variable kernel on Herz-Morrey spaces.

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Cited by 2 publications

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Some integral inequalities for harmonical $ cr $-$ h $-Godunova-Levin stochastic processes

Afzal

Eldin

Nazeer

et al. 2023

MATH

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<abstract><p>An important part of optimization is the consideration of convex and non-convex functions. Furthermore, there is no denying the connection between the ideas of convexity and stochastic processes. Stochastic processes, often known as random processes, are groups of variables created at random and supported by mathematical indicators. Our study introduces a novel stochastic process for center-radius (cr) order based on harmonic h-Godunova-Levin ($ \mathcal{GL} $) in the setting of interval-valued functions ($ \mathcal{IVFS} $). With some interesting examples, we establish some variants of Hermite-Hadamard ($ \mathcal{H.H} $) types inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.</p></abstract>

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Some integral inequalities for harmonical $ cr $-$ h $-Godunova-Levin stochastic processes

Afzal

Eldin

Nazeer

et al. 2023

MATH

View full text Add to dashboard Cite

show abstract

On Some Inequalities for Exponentially Weighted Fractional Hardy Operators With ∆-Integral Calculus

Akın

2024

Middle East Journal of Science

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A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

Abstract: A significant number of studies have been carried out on the generalized Lebesgue spaces L p(x) , Sobolev spaces W 1,p(x) and Herz spaces. In this paper, we demonstrated a characterization of boundedness of the fractional maximal operator with variable kernel on Herz-Morrey spaces.

Cited by 2 publications

References 9 publications

Some integral inequalities for harmonical $ cr $-$ h $-Godunova-Levin stochastic processes

Some integral inequalities for harmonical $ cr $-$ h $-Godunova-Levin stochastic processes

On Some Inequalities for Exponentially Weighted Fractional Hardy Operators With ∆-Integral Calculus

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