Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces

In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize which are hermitian and those complex symmetric with respect to family conjugations. As it turns out, enhanced by symmetry must be bounded. Hermitian, unitary proven an adapted highly relevant conjugation. classify linear fractional functions give rise bounded operators. end paper natural link in Lebesgue space.