On basicity of perturbed system of exponents in Lebesgue space with variable summability factor

Basicity of a system of exponents with a piecewise linear phase in Morrey-typespaces

“…The first one includes the works which used the methods of the theory of entire functions (see, e.g., [22-25, 33, 36]), and the second group consists of those which used the methods of boundary value problems for analytic functions (see, e.g., [10,27,31,32,34]). The latter idea originated from Bitsadze [15], later to be successfully used in [25,27,34].…”

“…Approximation matters have been (and are being) relatively well studied in generalized Lebesgue spaces by Sharapudinov [37], Israfilov [20,21], Bilalov and Huseynov [12,13], etc. (see e.g., [19,31]).…”