  In this paper, we study weighted fractional Sobolev-Poincar\'e inequalities
for irregular domains. The weights considered here are distances to the
boundary to certain powers, and the domains are the so-called $s$-John domains
and $\beta$-H\"older domains. Our main results extend that of Hajlasz-Koskela
[J. Lond. Math. Soc. 1998] from the classical weighted Sobolev-Poincar\'e
inequality to its fractional counter-part and Guo [Chin. Ann. Math. 2017] from
the frational Sobolev-Poincar\'e inequality to its weighted case.

Analysis of PDEs;Complex Variables