Weighted variable Morrey–Herz estimates for fractional Hardy operators

Asim, Muhammad; Hussain, Amjad; Sarfraz, Naqash

doi:10.1186/s13660-021-02739-z

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Lemma 2 [23][generalized Hölder's Inequality] Consider a Mea...1

Introduction1

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2022

2024

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Cited by 11 publications

(2 citation statements)

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“…It's worth noting that the specific details and advancements in these works can only be fully explored by referring to the papers [1,4,5,9,15,16,20,24].…”

Section: Lemma 2 [23][generalized Hölder's Inequality] Consider a Mea...mentioning

confidence: 99%

BMO estimate for the higher order commutators of Marcinkiewicz integral operator on grand Herz-Morrey spaces

SULTAN,

GÜRBÜZ

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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Let $\mathbb{S}^{n-1}$ denote the unit sphere in $\mathbb{R}^n$ with the normalized Lebesgue measure. Let $\Phi\in L^{r}(\mathbb{S}^{n-1})$ is a homogeneous function of degree zero and $b$ is a locally integrable function on $\mathbb{R}^n$. In this paper we define the higher order commutators of Marcinkiewicz integral $[b,\mu_{\Phi}]^m$ and prove the boundedness of $[b,\mu_{\Phi}]^m$ under some proper assumptions on grand variable Herz-Morrey spaces $M\dot{K}^{\alpha(.),\beta}_{u,v(.)}(\mathbb{R}^n)$.

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“…It's worth noting that the specific details and advancements in these works can only be fully explored by referring to the papers [1,4,5,9,15,16,20,24].…”

Section: Lemma 2 [23][generalized Hölder's Inequality] Consider a Mea...mentioning

confidence: 99%

BMO estimate for the higher order commutators of Marcinkiewicz integral operator on grand Herz-Morrey spaces

SULTAN,

GÜRBÜZ

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

View full text Add to dashboard Cite

show abstract

“…On the other hand, the fractional Hardy operator is obtained by merely writing (6). The weak type estimates for the fractional Hardy type operators has also spotlighted many researchers in the past, see for example [2,13,15,16,20,37,38].…”

Section: Introductionmentioning

confidence: 99%