Unified description of the non-singlet spin dependent structure function g1g_1 incorporating Altarelli-Parisi evolution and the double logarithmic ln2(1/x)ln^2(1/x) effects at low xx

A unified equation for the non-singlet spin dependent structure function $g_1^{ns}(x,Q^2)$ which incorporates the complete leading order Altarelli-Parisi evolution at finite $x$ and double logarithmic $ln^2(1/x)$ effects at $x \to 0$ is formulated. The solution of this equation reasonably agrees with the recent data obtained by the Spin Muon Collaboration.Comment: 10 pages, plain LATEX, 3 eps figures. Corrected: several misprints and a calculation error leading to negligible changes in fig. 2 and 3. To appear in Phys. Lett.