We define a new class of functions of variable smoothness that are analytic in the unit disc and continuous in the closed disc. We construct the theory of the Nevanlinna outer-inner factorization, taking into account the influence of the inner factor on the outer function, for functions of the new class.
Scopus subject areas
- Lebesgue spaces with variable exponent
- Muckenhoupt condition
- Outer-inner factorization