ON THE TOEPLITZ OPERATOR ON A TORUS IN SOME TOPOLOGICAL SPACES

In countably-normed spaces of functions on a torus that are smooth in one or both variables, we study Toeplitz operators with symbols ensure the bounded these spaces. To bisingular type summable and Ho¨lder functions, method partial regularization was used. Using this method, obtain construction regularizer condition for operator to be Noetherian space variables. Despite fact set space, unlike case Banach spaces, contains vanishing torus, results quite analogous The situation is different It shown inapplicable space.