Abstract
The paper deals with problems relating to the theory of Hankel operators. Let G be a bounded simple connected domain with the boundary Γ consisting of a closed analytic Jordan curve. Denote by Mn,p(G), 1⩽p<∞, the class of all meromorphic functions on G that can be represented in the form h=β/α, where β belongs to the Smirnov class Ep(G), α is a polynomial degree at most n, α≢0. We obtain estimates of s-numbers of the Hankel operator Af constructed from f∈Lp(Γ), 1⩽p<∞, in terms of the best approximation Δn,p of f in the space Lp(Γ) by functions belonging to the class Mn,p(G).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
