Bounds on the deviation of a function from its averages
A. M. Fink (1992)
Czechoslovak Mathematical Journal
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A. M. Fink (1992)
Czechoslovak Mathematical Journal
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Oldřich Kowalski, Zdeněk Vlášek (1999)
Mathematica Bohemica
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The first author and F. Prufer gave an explicit classification of all Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying additional geometrical conditions. The aim of the present paper is to get the same classification under weaker geometrical conditions.
Ondřej Došlý, Roman Hilscher (1997)
Mathematica Bohemica
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Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator , are established. These conditions are based on a recently proved relationship between spectral properties of and oscillation of a certain associated second order differential equation.