TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.2926-2934, 2018 (SCI İndekslerine Giren Dergi)
We consider the stretching operator (T(w)f)(z) = f (wz) and the multiple shift operator S-n f = z(n) f on the Hardy spaces H-P(D) (1 <= p < +infinity). We describe in terms of so-called Berezin symbols their lattice of invariant subspaces. We also define a new class of operators on the reproducing kernel Hilbert space H(Omega), which in a particular case contains all compact operators, and discuss in terms of Berezin symbols their invariant subspaces.