We have studied the correlations between luminosities (𝐿_R, 𝐿_IR, 𝐿_𝛾) in the radio, near-infrared and 𝛾-ray wave bands for HSP TeV BL Lacs. The results show that there are significant intrinsic correlations between 𝐿_R and 𝐿_𝛾 and between 𝐿_IR and 𝐿_𝛾 in all states (high/average/low), and suggest that for HSP TeV BL Lacs, the Synchrotron Self-Compton radiation (SSC) is the main mechanism of high energy 𝛾-ray emission, and the inverse Compton scattering of circum-nuclear dust is likely to be an important complementary mechanism.

From a large volume of literature, we have collected effective observation of BL Lac object S5 0716+714 in the optical band, and constructed its long-term light curve from 1994 to 2006 AD. The light curve shows that S5 0716+714 is very active and exhibits very complicated non-sinusoidal variations. We used Period04 to analyse the period of light curve variation. Our results show that for S5 0716+714, the long-term period of variation is 3.3 yr which is consistent with the result of Raiter et al. (2003).

We have collected a sample of 71 𝛾-ray blazars selected from the Fermi LAT Bright AGN Sample (LBAS). The correlation between synchrotron peak luminosities 𝐿_p and synchrotron peak frequencies 𝑣_p have been studied and there is a weak negative correlation. But after correcting the effect of redshift and Doppler boosting, the relation between intrinsic 𝐿'_p and 𝑣'_p show significant positive correlation.