On the associated spaces of the Hardy space

D. V. Prokhorov

Computer Centre of Far Eastern Branch RAS, Khabarovsk

Abstract: Characterizations of the associated spaces and second associated spaces of the Hardy space on $\mathbb{R}^n$ are given. Some results on the associated spaces of the ${\mathrm{BMO}(\mathbb{R}^{n})}$ space are proved also.

Key words: Hardy spaces, BMO, associated spaces.

UDC: 517.51

MSC: Primary 42B30; Secondary 46E30

Received: 08.11.2023
Accepted: 24.05.2024

DOI: 10.47910/FEMJ202409