We present a unified account fur the coupled single-hole and spin dynamics
in the spin-gap phase of dimerized and frustrated spin chains and two-legs
spin ladders. Based on the strong dimer limit of a one-dimensional t(1,2,3)
-J(1,2,3) model a diagrammatic approach is presented that employs a mapping
of the spin Hamiltonian onto a pseudofermion bond-boson model. Results for
the single-hole spectrum are detailed. A finite quasiparticle weight is ob
served and studied for a variety of system parameters. A comparison with ex
isting exact-diagonalization data is performed and good agreement is found.