Two-sided estimates of the approximation numbers of certain Volterra integral operators

Studia Mathematica

Volumn 124, Issue 1, 1997, Pages 59-80

  Edmunds, D E ^a   Evans, W D ^b   Harris, D J ^b  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031474430     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. C. Bennett and R. Sharpley, Interpolation of Operators, Pure Appl. Math. 129, Academic Press, New York, 1988.
2. M. Birman and M. Z. Solomyak, Estimates for the singular numbers of integral operators, Uspekhi Mat. Nauk 32 (1) (1977), 17-82 (in Russian); English transl.: Russian Math. Surveys 32 (1977).
3. M. Birman and M. Z. Solomyak, Estimates for the singular numbers of integral operators, Uspekhi Mat. Nauk 32 (1) (1977), 17-82 (in Russian); English transl.: Russian Math. Surveys 32 (1977).
4. D. E. Edmunds and W. D. Evans, Spectral Theory and Differential Operators, Oxford Univ. Press, Oxford, 1987.
5. D. E. Edmunds, W. D. Evans and D. J. Harris, Approximation numbers of certain Volterra integral operators, J. London Math. Soc. (2) 37 (1988), 471-489.
6. D. E. Edmunds and V. D. Stepanov, On the singular numbers of certain Volterra integral operators, J. Funct. Anal. 134 (1995), 222-246.
7. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, Cambridge, 1952.
8. H. König, Eigenvalue Distribution of Compact Operators, Birkhäuser, Boston, 1989.
9. J. Newman and M. Solomyak, Two-sided estimates of singular values for a class of integral operators on the semi-axis, Integral Equations Operator Theory 20 (1994), 335-349.
10. K. Nowak, Schatten ideal behavior of a generalized Hardy operator, Proc. Amer. Math. Soc. 118 (1993), 479-483.