TY - JOUR

T1 - On recurrence coefficients of Steklov measures

AU - Bessonov, R. V.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - A measure μ on the unit circle T belongs to Steklov class S if its density w with respect to the Lebesgue measure on T is strictly positive: essinfTw>0. Let μ, μ- 1 be measures on the unit circle T with real recurrence coefficients { αk} , { - αk} , correspondingly. If μ∈ S and μ- 1∈ S, then partial sums sk= α0+ … + αk satisfy the discrete Muckenhoupt condition supn0(1n-ℓ∑k=ℓn-1e2sk)(1n-ℓ∑k=ℓn-1e-2sk)<∞.

AB - A measure μ on the unit circle T belongs to Steklov class S if its density w with respect to the Lebesgue measure on T is strictly positive: essinfTw>0. Let μ, μ- 1 be measures on the unit circle T with real recurrence coefficients { αk} , { - αk} , correspondingly. If μ∈ S and μ- 1∈ S, then partial sums sk= α0+ … + αk satisfy the discrete Muckenhoupt condition supn0(1n-ℓ∑k=ℓn-1e2sk)(1n-ℓ∑k=ℓn-1e-2sk)<∞.

KW - Bounded mean oscillation

KW - Muckenhoupt class

KW - Orthogonal polynomials

KW - Steklov conjecture

KW - Bounded dmean oscillation

UR - http://www.scopus.com/inward/record.url?scp=85044930405&partnerID=8YFLogxK

U2 - 10.1007/s13348-017-0203-9

DO - 10.1007/s13348-017-0203-9

M3 - Article

AN - SCOPUS:85044930405

VL - 69

SP - 237

EP - 248

JO - Collectanea Mathematica

JF - Collectanea Mathematica

SN - 0010-0757

IS - 2

ER -