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arXiv · 2503.00800

Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators

Guangqing Wang
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Abstract

It is studied that pointwise estimates and continuities on Hardy spaces of pseudo-differential operators (PDOs for short) with the symbol in general H\"{o}rmander's classes. We get weighted weak-type $(1,1)$ estimate, weighted normal inequalities, $(H^{p},H^{p})$ continuities and $(H^{p},L^{p})$ continuities for PDOs, where $0<p\leq1$.

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Guangqing Wang. 2025-03-02. Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators. https://arxiv.org/abs/2503.00800

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