On sharpness, applications and generalizations of some Carleman type inequalities
DOI10.2748/tmj/1178225409zbMath0849.47006OpenAlexW2002804461MaRDI QIDQ1915238
Lars-Erik Persson, Lubomir Dechevski
Publication date: 16 June 1996
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178225409
singular integral equationsperturbationerror analysispseudo-differential equationsa priori estimationasymptotic equalitiesanalytic functions of operator argumentCarleman's inequality for Hilbert-Schmidt operatorsextremizing operatorsSchatten-von Neumann operator idealssolutions of Fredholm and Volterra first- and second kind integral equations
Numerical methods for integral equations (65R20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Linear operator methods in interpolation, moment and extension problems (47A57) Integral operators (47G10) Approximation by operators (in particular, by integral operators) (41A35) Theoretical approximation of solutions to integral equations (45L05) Best constants in approximation theory (41A44)
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Cites Work
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- Sharp Generalized Carleman Inequalities with Minimal Information about the Spectrum
- Inequalities: theory of majorization and its applications
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