We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
spaces
This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$
type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
In this paper, we obtain the variational characterization of Hardy space Hp for 
$p\in (((n)/({n+1})),1]$, and get estimates for the oscillation operator and the λ-jump operator associated with approximate identities acting on Hp for 
$p\in (((n)/({n+1})),1]$. Moreover, we give counterexamples to show that the oscillation and λ-jump associated with some approximate identity cannot be used to characterize Hp for 
$p\in (((n)/({n+1})),1]$.
