On Invariant Subspaces in Weighted Hardy Spaces
We consider the description of translation invariant subspaces of a weighted Hardy space in the half plane. The obtained result includes the Beurling–Lax theorem for the Hardy space as a special case. We discuss the problem of generalization of the definition of inner function.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 6, pp 955-960.
Citation Example: Dilnyi V. M. On Invariant Subspaces in Weighted Hardy Spaces // Ukr. Mat. Zh. - 2014. - 66, № 6. - pp. 853–857.