Mathematica Eterna
Open Access

Abstract

On basicity of double and unitary systems in generalized Lebesgue spaces

Muradov T.R.

We consider a unitary system of functions in generalized Lebesgue space of functions Lp(·) (0, a) with variable summability exponent p (·). We define a double system of functions in Lp(·) (−a, a), associated with a unitary system, and establish the relation between the basicity of these systems in the spaces Lp(·) .