Publication: On Hardy's inequality and eigenvalue distributions
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Publication Date
1993
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Sociedade Portuguesa de Matematica
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Abstract
We show a direct proof for the generalized Hardy’s inequality obtained by the first author Math. Nachr. 126, 281-300, 1986. Our techniques are elementary and work in the limit case which was not covered in [loc. cit.]. Some applications to eigenvalue distributions of operator ideals are also given.
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COBOS, F.-On the Lorentz-Marcinkiewicz operator ideal, Math. Nachr., 126 (1986), 281-300.
COBOS, F.-Entropy and Lorentz-Marcinkiewicz operator ideals, Arkiv Mat., 25 (1987), 211-219.
COBOS, F. and KÜHN, T.-Entropy and eigenvalues of weakly singular integral operators, Integral Eq. and Operator Theory, 11 (1988), 64-86.
KÖNING, H.-Weyl-type inequalities for operators in Banach spaces, in "Proc. Conf. Funct. Anal. Paderborn 1979", North Holland (1980), 297-317.
MERUCCI, C.-Applications of interpolation with a function parameter to Lorentz, Sobolev and Besov spaces, in "Interpolation Spaces and Allied Topics in Analysis", Springer Lect. Notes Math., 1070 (1984), 183-201.
PIETSCH, A.-Eigenvalues and s-Numbers, Cambridge Univ. Press, Cambridge (1987).