Estimates of singular integrals and their commutators on weighted Hardy spaces
Volume 136 / 2026
Annales Polonici Mathematici 136 (2026), 167-195
MSC: Primary 42B20; Secondary 42B30, 42B37, 47B47
DOI: 10.4064/ap250312-12-9
Published online: 23 February 2026
Abstract
We prove that singular integrals $T$ with standard Calderón–Zygmund kernel and $\mathcal {S}$ with variable kernel are bounded on appropriate weighted Hardy spaces. Similar results hold for the commutators $T_b$ and $\mathcal {S}_b$ when $b$ belongs to a suitable subspace of ${\rm BMO}(\mathbb {R}^n)$.
