Abstract. The boundedness of a linear or sublinear operator from the Hardy space $H_p({\msbm R}^d)$ to a quasi-Banach space is investigated.

AMS Subject Classification (1991): 42B30

Keyword(s): Hardy spaces, atomic decomposition, simple atoms, tempered distributions

Received September 27, 2011, and in revised form June 21, 2012. (Registered under 51/2011.)