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)<∞.

Original languageEnglish
Pages (from-to)237-248
Number of pages12
JournalCollectanea Mathematica
Volume69
Issue number2
DOIs
StatePublished - 1 May 2018

    Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

    Research areas

  • Bounded mean oscillation, Muckenhoupt class, Orthogonal polynomials, Steklov conjecture, Bounded dmean oscillation

ID: 36320788