Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces
Axioms, 2022 In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
, Fatima Azmi, Mazher Mehmood
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Weighted Grand Herz-Type Spaces and Its Applications
Journal of Function Spaces, 2022 In this paper, we introduce the weighted grand Herz spaces and weighted grand Herz-type Hardy spaces. The decompositional characterizations of these spaces are established. As its applications, the boundedness of some sublinear operators are established.
Xia Yu, Zongguang Liu
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Boundedness of Hardy operators on grand variable weighted Herz spaces
AIMS Mathematics, 2023 In this paper, we will introduce the idea of grand variable weighted Herz spaces $ {{\dot{K} ^{\alpha(\cdot), \epsilon), \theta}_{ q(\cdot)}(\tau)}} $ in which $ \alpha $ is also a variable.
Babar Sultan +3 more
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Boundedness of some operators on grand Herz spaces with variable exponent
AIMS Mathematics, 2023 Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying ...
Mehvish Sultan +3 more
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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
Journal of Function Spaces, 2022 In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis +2 more
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Boundedness of sublinear operators on weighted grand Herz-Morrey spaces
AIMS Mathematics, 2023 In this paper, we introduce weighted grand Herz-Morrey type spaces and prove the boundedness of sublinear operators and their multilinear commutators on these spaces. The results are still new even in the unweighted setting.
Wanjing Zhang, Suixin He , Jing Zhang
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Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
AIMS Mathematics, 2023 In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
Babar Sultan +5 more
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A note on the boundedness of Hardy operators in grand Herz spaces with variable exponent
AIMS Mathematics, 2023 The fractional Hardy-type operators of variable order is shown to be bounded from the grand Herz spaces $ {\dot{K} ^{a(\cdot), u), \theta}_{ p(\cdot)}(\mathbb{R}^n)} $ with variable exponent into the weighted space $ {\dot{K} ^{a(\cdot), u), \theta}_ ...
Samia Bashir +4 more
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A note on the boundedness of sublinear operators on grand variable Herz spaces [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.
Hammad Nafis +2 more
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Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces
AIMS Mathematics, 2023 Let $ \mathbb{S}^{n-1} $ denotes the unit sphere in $ \mathbb{R}^n $ equipped with the normalized Lebesgue measure. Let $ \Phi \in L^r(\mathbb{S}^{n-1}) $ be a homogeneous function of degree zero.
Mehvish Sultan +3 more
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