On Asymptotics of Toeplitz Determinants with Symbols of Nonstandard Smoothness

We prove Szegös strong limit theorem for Toeplitz determinants with a symbolhaving a nonstandard smoothness. We assume that the symbol belongs to the Wiener algebraand, moreover, the sequences of Fourier coefficients of the symbol with negative and nonnegativeindices belong to weighted Orlicz classes generated by complementary N-functions both satisfyingthe ⁰₂-condition and by weight sequences satisfying some regularity and compatibility conditions.