Morrey-Herz Spaces Research Articles

Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces

Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces

Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces

Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces

Rough Fractional Hausdorff Operators on Morrey–Herz Spaces with Variable Exponents

Rough Fractional Hausdorff Operators on Morrey–Herz Spaces with Variable Exponents

Two-weighted estimates for p-adic Riesz potential and its commutators on Morrey–Herz spaces

Two-weighted estimates for p-adic Riesz potential and its commutators on Morrey–Herz spaces

Boundedness of Some Hilbert–Type Operators on the Weighted Morrey–Herz Spaces

Boundedness of Some Hilbert–Type Operators on the Weighted Morrey–Herz Spaces

Parametric Marcinkiewicz Integral and Its Higher-Order Commutators on Variable Exponents Morrey-Herz Spaces

In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α · is a constant.

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

This research investigates the boundedness of a p-adic fractional integral operator on p-adic Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations (Cdot{M}O) and Lipschitz estimate for commutators of the p-adic fractional integral operator are provided as well.

Modified Hardy and Hardy–Littlewood Fractional Operators in Morrey–Herz Spaces and Their Commutators in Weighted Spaces

In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators acting from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators acting from one weighted space with a power weight to another.

p -Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces

In this paper, we establish the boundedness of p -adic Riesz potential on Morrey-Herz spaces, as well as the λ -central BMO estimates for multilinear commutators of p -adic Riesz potential on Morrey-Herz spaces.

Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces

Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces

Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent

Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent

Weighted variable Morrey\u2013Herz estimates for fractional Hardy operators

The present article discusses the boundedness criteria for the fractional Hardy operators on weighted variable exponent Morrey–Herz spaces {Mdot{K}^{alpha(cdot),lambda}_{q,p(cdot)}(w)}.

Commutators of Hardy-Cesàro operators on Morrey-Herz spaces with variable exponents

<abstract><p>The aim of this paper is to establish some sufficient conditions for the boundedness of commutators of Hardy-Cesàro operators with symbols in central BMO spaces with variable exponent on some function spaces such as the local central Morrey, Herz, and Morrey-Herz spaces with variable exponents.</p></abstract>

Generalized Multilinear Hausdorff Operators on the Heisenberg Group

In this paper, we establish some necessary and sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on weighted central Morrey, Herz, and Morrey–Herz spaces on the Heisenberg group. Moreover, we also give some sufficient conditions for the boundedness of generalized multilinear Hausdorff operators on such spaces with the Muckenhoupt weights. Our results generalize some previous known results.

Estimates for Commutators of Bilinear Fractionalp-Adic Hardy Operator on Herz-Type Spaces

In the current article, we investigate the boundedness of commutators of the bilinear fractionalp-adic Hardy operator onp-adic Herz spaces andp-adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and Lipschitz spaces.

Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields

The aim of this paper is to establish some necessary and sufficient conditions for the boundedness of the Hausdorff operators on two-weighted central Morrey, Herz, and Morrey–Herz spaces on the p-adic fields. Moreover, the sufficient conditions of boundedness of commutators of p-adic Hausdorff operators with symbols in the Lipschitz spaces on two-weighted central Morrey and Morrey–Herz spaces are also given.

Boundedness of Calderón-Zygmund operators and their commutator on Morrey-Herz Spaces with variable exponents

Boundedness of Calderón-Zygmund operators and their commutator on Morrey-Herz Spaces with variable exponents

On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey type spaces

UDC 517.5 In the framework of variable exponent Morrey and Morrey–Herz spaces, we prove some boundedness results for the commutator of Marcinkiewicz integrals with rough kernels. The approach is based on the theory of variable exponent and on generalization of the BMO-norms.

Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces

The purpose of this paper is to establish some necessary and sufficient conditions for the boundedness of the multilinear Hausdorff operators on the product of some two-weighted function spaces such as the two-weighted Morrey, Herz and Morrey–Herz spaces. Moreover, some sufficient conditions for the boundedness of multilinear Hausdorff operators on such spaces with respect to the Muckenhoupt weights are also given.

Весовые оценки коммутаторов для операторов Хаусдорфа на группе Гейзенберга

The aim of this paper is to give some sufficient conditions for the boundedness of commutators of Hausdorff operators with symbols in weighted central BMO type spaces on the Herz spaces, central Morrey spaces and Morrey-Herz spaces associated with both power weights and Muckenhoupt weights on the Heisenberg group.