Resumen de About Lebesgue inequalities on the classes of generalized Poisson integrals

A. S. Serdyuk, T.A. Stepanyuk

• We establish asymptotically best possible Lebesgue-type inequalities on the sets Cαβ,τ C, of generalized Poisson integrals from continuous periodic functions. We prove that obtained estimates are also asymptotically exact on some important subsets Cαβ,τ C(ε).