Stepanov, Vladimir D and Ushakova, Elena (2009) Alternative criteria for the boundedness of Volterra integral operators is Lebesgue spaces. Mathematical Inequalities Applications. 873–889.
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.
Metadata
Authors/Creators: |
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Keywords: | Integral operators, Lebesgue spaces, weights, boundedness |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 07 Jun 2012 12:18 |
Last Modified: | 06 Dec 2023 10:49 |
Status: | Published |
Refereed: | Yes |
Related URLs: |