Analysis reveals weighted weak-type estimates and continuity results for pseudo-differential operators in Hardy spaces, suggesting significant implications for functional analysis.
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, (Hᵖ,Hᵖ) continuities and (Hᵖ,Lᵖ) continuities for PDOs, where 0<p≤1.
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Guangqing Wang (2025) studied this question.
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