On the relation between fourier and leont’ev coefficients with respect to smirnov spaces

  • B. Forster

Abstract

Yu. Mel’nik showed that the Leont’ev coefficients Κ f (λ) in the Dirichlet series \({{2n} \mathord{\left/ {\vphantom {{2n} {\left( {n + 1} \right) < p < 2}}} \right. \kern-0em} {\left( {n + 1} \right) < p > 2}}\) of a function fE p (D), 1 < p < ∞, are the Fourier coefficients of some function FL p , ([0, 2π]) and that the first modulus of continuity of F can be estimated by the first moduli and majorants in f. In the present paper, we extend his results to moduli of arbitrary order.
Published
25.04.2004
How to Cite
ForsterB. “On the Relation Between Fourier and leont’ev Coefficients With Respect to Smirnov Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 4, Apr. 2004, pp. 517–526, https://umj.imath.kiev.ua/index.php/umj/article/view/3773.
Section
Research articles