“…In 2006, Essén et al 20 investigated several function‐theoretic characterizations of
. Further, similar to Essén et al,
4 the real version of
, denoted by
, was established by Bao and Wulan 21 ; see also previous studies
19,22–24 for further information. Inspired by Bao and Wulan 22 and Essén et al, 20 in the setting of Heisenberg groups
, we introduce the following two classes of
‐type spaces related with weight functions denoted by
and
, respectively:…”