  The detections of X-ray emission from the kiloparsec-scale jets of blazars
and radio galaxies may imply the existence of high energy electrons in these
extended jets, and these electrons could produce high energy emission through
inverse Compton (IC) process. In this paper we study the non-variable hard TeV
emission from a blazar. The multi-band emission consists of two components: one
is the traditional synchrotron self-Compton (SSC) emission from the inner jet,
and the other is the emission produced via SSC and IC scattering of cosmic
microwave background (CMB) photons (IC/CMB) and extragalactic background light
(EBL) photons (IC/EBL) by relativistic electrons in the extended jet under the
stochastic acceleration scenario. Such a model is applied to 1ES 1101-232. The
results indicate that (1) the non-variable hard TeV emission of 1ES 1101-232
can be reproduced well, which is dominated by IC/CMB emission from the extended
jet, using three characteristic values of Doppler factor ($\delta_{\rm
D}=5,10,15$) for the TeV emitting region in the extended jet; and (2) in the
cases of $\delta_{\rm D}=15$ and 10, the physical parameters can achieve the
equipartition (or quasi-equipartition) between the relativistic electrons and
the magnetic field; In contrast, the physical parameters largely deviate from
the equipartition for the case of $\delta_{\rm D}=5$. It is therefore concluded
that the TeV emission region of 1ES 1101-232 in the extended jet should be
moderately or highly beamed.
