RT Journal Article T1 On the Optimal Asymptotic Eigenvalue Behavior of Weakly Singular Integral-Operators A1 Cobos, Fernando A1 Janson, Svante A1 Kühn, Thomas AB We improve the known results on eigenvalue distributions of weakly singular integral operators having (power) order of the singularity equal to half of the dimension of the underlying domain. Moreover we show that our results are the best possible. PB American Mathematical Society SN 0002-9939 YR 1991 FD 1991 LK https://hdl.handle.net/20.500.14352/57282 UL https://hdl.handle.net/20.500.14352/57282 LA eng NO B. Carl and T. Kuhn, Entropy and eigenvalues of certain integral operators, Math. Ann. 268 (1984), 127-136. F. Cobos and T. Kuhn, Entropy and eigenvalues of weakly singular integral operators, Inte-gral Equations and Operator Theory 11 (1988), 64-86. - Eigenvalues of weakly singular integral operators, J. London Math. Soc. (2) 41 (1990), 323-335. I. C. Gohberga nd M. G. Krein, Introductiont o the theoryo f linear non-selfadjoint operators, Amer. Math. Soc., Providence, RI, 1969. H. Konig, Some remarks on weakly singular integral operators, Integral Equations and Operator Theory 3 (1980), 397-407. -Eigenvalue distribution of compact operators, Birkhauser, Basel, Boston, MA, and Stuttgart, 1986. H. Konig, J. R. Retherford, and N. Tomczak-Jaegermann, On the eigenvalueso f (p, 2)- summing operators and constants associated to normed spaces, J. Funct. Anal. 37 (1980), 88-126. G. P. Kostometov, Asymptotic behaviour of the spectrum of integral operators with a singu-larity on the diagonal, Math. USSR-Sb. 23 (1974), 417-424. DS Docta Complutense RD 30 abr 2024