  We formulate the basic points of the pseudo-PDF approach to the lattice
calculation of polarized gluon PDFs. We present the results of our calculations
of the one-loop corrections for the bilocal $G_{\mu \alpha}(z) \widetilde
G_{\lambda \beta}(0)$ correlator of gluonic fields. Expressions are given for a
general situation when all four indices are arbitrary, and also for specific
combinations of indices corresponding to three matrix elements that contain the
twist-2 invariant amplitude related to the polarized PDF. We study the
evolution properties of these matrix elements, and derive matching relations
between Euclidean and light-cone Ioffe-time distributions. These relations are
necessary for extraction of the polarized gluon distributions from the lattice
data.
