Homogeneous Herz Spaces Research Articles

Boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents

We obtain the boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents $$\dot K_{p( \cdot ),q( \cdot )}^{\alpha ( \cdot )}$$ , such as some sublinear operators, the fractional integral and its commutator.

Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

Homogeneous Herz spaces with variable exponents and regularity results

Homogeneous Herz spaces with variable exponents and regularity results

Some estimates for commutators of Hausdorff operators

In this paper, we establish some new estimates for commutators of Hausdorff operators on homogeneous Herz and Morrey-Herz spaces, which extend some previous results.

Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent

By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.

Boundedness for commutators of fractional p-adic Hardy operators

In this paper we prove that the commutators generated by the fractional p-adic Hardy operators and the central BMO function are bounded on weighted homogeneous Herz spaces. MSC:11E95, 11K70, 42B99.

Commutators of generalized Hardy operators

AbstractLetHa,b be the commutator generated by the generalized Hardy operator and the CMO function. The (Lp, Lp) boundedness of Ha,b is discussed in this paper. Furthermore, the authors consider the boundedness of Ha,b on the weighted homogeneous Herz spaces (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Homogeneous Herz spaces and regularity results

In the note the author treats second order divergence form operators L with coefficients in V M O and proves that a solution of L u = d i v f , where f is in homogeneous Herz spaces K ̇ q α , p , has derivatives in K ̇ q α , p .

Boundedness for commutators of fractional Hardy operators on Herz spaces

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

Boundedness for the commutator of convolution operator

A boundedness result is established for sublinear operators on homogeneous Herz spaces. As applications, a new result about the weighted boundedness of commutators of convolution operators is obtained.

Boundedness of sublinear operators on the homogeneous Herz spaces

Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained

Boundedness of rough singular integral operators on homogeneous Herz spaces

AbstractThe authors establish the boundedness on the Herz spaces and the weak Herz spaces for a large class of rough singular integral operators and their corresponding fractional versions. Applications are given to Fefferman's rough singular integral operators, their fractional versions, their commutators with BMO() functions and Ricci-Stein oscillatory singular integral operators. Some new results are obtained.

Boundedness of commutators on homogeneous Herz spaces

The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(Rn) functions and linear operators of rough kernels which include the Calderon-Zygmund operators and the Ricci-Stein oRfiUatory singular integrals with rough kernels.