Displaying similar documents to “Estimates for the arctangent function related to Shafer's inequality”

Rearrangement estimates of the area integrals

A. K. Lerner (2002)

Colloquium Mathematicae

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We derive weighted rearrangement estimates for a large class of area integrals. The main approach used earlier to study these questions is based on distribution function inequalities.

Multilinear Hölder-type inequalities on Lorentz sequence spaces

Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris (2009)

Studia Mathematica

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We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.

Resolvent estimates with mild trapping

Jared Wunsch (2012)

Journées Équations aux dérivées partielles

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We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations. We focus on trapping that is unstable, so that strong resolvent estimates hold on the real axis, and large resonance-free regions can be shown to exist beyond it.