Mudanjiang Normal University

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20132019

most citedCharacterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function

45 citations

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math.CA2019★ 11 cited

Some notes on commutators of the fractional maximal function on variable Lebesgue spaces

Pu Zhang, Zengyan Si, Jianglong Wu

Let $0 < α < n$ and $M_{α}$ be the fractional maximal function. The nonlinear commutator of $M_{α}$ and a locally integrable function $b$ is given by $[b, M_{α}] (f) = b M_{α} (f) - M_{α} (b f)$ . In this…

math.CA2017★ 27 cited

Characterization of Lipschitz functions in terms of variable exponent Lebesgue spaces

Pu Zhang

Our aim is to characterize the Lipschitz functions by variable exponent Lebesgue spaces. We give some characterizations of the boundedness of the maximal or nonlinear commutators o…

math.CA2017★ 45 cited

Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function

Pu Zhang

Let $M$ be the Hardy-Littlewood maximal function and $b$ be a locally integrable function. Denote by $M_{b}$ and $[b, M]$ the maximal commutator and the (nonlinear) commutator of $M$ …