Resumen de On recurrence coefficients of Steklov measures

Roman V. Bessonov

• A measure ? on the unit circle ? belongs to Steklov class if its density w with respect to the Lebesgue measure on ? is strictly positive: essinf??>0 . Let ? , ?−1 be measures on the unit circle ? with real recurrence coefficients {??} , {−??} , correspondingly. If ?∈ and ?−1∈ , then partial sums ??=?0+…+?? satisfy the discrete Muckenhoupt condition sup?>ℓ⩾0(1?−ℓ∑?−1?=ℓ?2??)(1?−ℓ∑?−1?=ℓ?−2??)<∞ .