Multipliers on homogeneous Banach spaces with respect to Jacobi polynomials (Q379441)

The author of the article under review studies multipliers with respect to Jacobi polynomials, i.e., operators that commute with the Jacobi translations on \([-1,1]\). He establishes four characterizations of multipliers on homogeneous Banach spaces on \([-1,1]\). Then the author studies multipliers on certain homogeneous Banach spaces such as the Wiener algebra, the Beurling spaces, Sobolev spaces.