DOI

Compactness conditions as well as estimates for singular values of the bordered Airy transform fAg in L2(ℝ) are studied for suitable functions f(x), g(x), x ∈ ℝ. Sufficient conditions for the operator fAg to be in the Schatten-von Neumann class Sp, p ∈ (0, 2), are obtained. In particular, certain conditions ensuring that the operator fAg is in trace class are given.

Original languageEnglish
Pages (from-to)315-323
JournalSt. Petersburg Mathematical Journal
Volume29
Issue number2
DOIs
StatePublished - 1 Jan 2018

    Research areas

  • Airy transform, Classes of compact operators, Estimates for singular values, Integral operators

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

ID: 37263726