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arXiv · 2207.10067

Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups

Vagif S. Guliyev
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Abstract

We give necessary and sufficient conditions for the boundedness of the maximal commutators $M_{b}$, the commutators of the maximal operator $[b, M]$ and the commutators of the sharp maximal operator $[b, M^{\sharp}]$ in Orlicz spaces $L^{\Phi}(\mathbb{G})$ on any stratified Lie group $\mathbb{G}$ when $b$ belongs to Lipschitz spaces $\dot{\Lambda}_{\beta}(\mathbb{G})$. We obtain some new characterizations for certain subclasses of Lipschitz spaces $\dot{\Lambda}_{\beta}(\mathbb{G})$.

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Vagif S. Guliyev. 2022-07-20. Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups. https://arxiv.org/abs/2207.10067

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