Alternative criteria for the boundedness of Volterra integral operators is Lebesgue spaces

Vladimir D Stepanov, Elena Ushakova

Research output: Contribution to journalArticlepeer-review

Abstract

Three different criteria for Lp -Lq boundedness of Volterra integral operator with locally integrable weight functions w,v and a non-negative kernel k(x,y) satisfying Oinarov’s condition are given. Relations between components of the boundedness constants are described.
Original languageEnglish
Pages (from-to)873–889
Number of pages17
JournalMathematical Inequalities Applications
Volume12
Issue number4
Publication statusPublished - Oct 2009

Keywords

  • Integral operators, Lebesgue spaces, weights, boundedness

Cite this