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Weak boundedness for the commutator of $n$-dimensional rough Hardy operator on homogeneous Herz spaces and central Morrey spaces

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In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also established.

Abstract

In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also established.

참고문헌 (39)

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