Morrey-Herz Spaces Research Articles

Weighted Estimates for Commutators of -Dimensional Rough Hardy Operators

We establish the weighted estimates for the commutators and which are generated by the -dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces. Furthermore, the weighted Lipschitz estimates are also obtained.

Boundedness for commutators of [formula omitted]-dimensional rough Hardy operators on Morrey–Herz spaces

In this paper, we study central BMO estimates for commutators of rough Hardy operators HΩ,βb on Morrey–Herz spaces. Furthermore, we also establish the Lipschitz estimates for HΩ,βb on some function spaces, such as the Lebesgue spaces, the Herz spaces and the Morrey–Herz spaces.

Boundedness of Commutators of High-Dimensional Hausdorff Operators

We prove the boundedness of commutators of high-dimensional Hausdorff operators <svg style="vertical-align:-4.37273pt;width:30.612499px;" id="M1" height="15.775" version="1.1" viewBox="0 0 30.612499 15.775" width="30.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.775)"> <g transform="translate(72,-59.38)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan> </text> <text transform="matrix(1,0,0,-1,-61.03,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0">Φ</tspan> <tspan style="font-size: 8.75px; " x="6.6777759" y="0">,</tspan> <tspan style="font-size: 8.75px; " x="8.8657761" y="0">𝑏</tspan> </text> </g> </g> </svg> on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.

Generalized Hilbert operators on weighted Morrey-Herz spaces

Ciˇˇ sija) Abstract. This paper give some necessary and sufficient conditions for the generalized Hilbert operators to be bounded on the weighted Morrey-Herz spaces. The corresponding new operator norm inequalities are obtained.

CBMO estimates for multilinear Hardy operators

The purpose of this paper is to study the multilinear Hardy operators in higher dimensional cases and establish the CBMO estimates for multilinear Hardy operators on some function spaces, such as the Lebesgue spaces, the Herz spaces and the Morrey-Herz spaces.

Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

The authors consider the multilinear Riesz potential operator defined by , where denotes the -tuple , the nonnegative integers with , , and is a nonnegative -dimensional Borel measure. In this paper, the boundedness for the operator on the product of homogeneous Morrey-Herz spaces in nonhomogeneous setting is found.

Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces

A boundedness result is established for multilinear singular integral operators on the homogeneous Morrey-Herz spaces. As applications, two corollaries about interesting cases of the boundedness of the considered operators on the homogeneous Morrey-Herz spaces are obtained.

Boundedness of commutators on homogeneous Morrey-Herz spaces over locally compact Vilenkin groups

This paper studies some boundedness results of commutators on a class of new spaces M\( \dot K \)p,qα,λ(G) named as homogenous Morrey-Herz spaces over locally compact Vilenkin groups.

Cbmo estimates for Marcinkiewicz integrals on homogeneous Morrey-Herz spaces

The boundedness of the commutator µΩ,b generalized by Marcinkiewicz integral µΩ and a function b(x) ∈ CBMOq(R n) on homogeneous Morrey-Herz spaces is established.

Continuity of Marcinkiewicz integrals on homogeneous Morrey-Herz spaces

Let μmΩ,b be the higher order commutator generated by Marcinkiewicz integral µΩ and a BMO(ℝn) function b(x). In this paper, we will study the continuity of μΩ and μmΩ,b on homogeneous Morrey-Herz spaces.

Boundedness of rough singular integral operatorson the homogeneous Morrey-Herz spaces

Some boundedness results are established for some rough singular integral operators and fractional singular integral operators on the Homogeneous Morrey-Herz Spaces. And also we get some boundedness results on the weak homogeneous Morrey-Herz Spaces.