Abstract   We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space     H    L    1     introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as well as the group of imaginary powers.
['Jacek Dziubański', 'Błażej Wróbel']
Strong continuity on Hardy spaces