Embedding theorems corresponding to correct solvability of a linear differential equation of the first order

Abstract

Let ∈ [1, ∞), 0 ≤ ∈ loc 1 (ℝ). Consider an equation − ( ) + ( ) ( ) = ( ), ∈ ℝ (0.1)where ∈ (ℝ), and the weight function spaceThe following assertion is the main result of the paper: