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Dilational interpolatory inequalities

Hegland, Markus; Anderssen, Robert S.

Description

Operationally, index functions of variable Hilbert scales can be viewed as generators for families of spaces and norms and, thereby, associated scales of interpolatory inequalities. Using one-parameter families of index functions based on the dilations of given index functions, new classes of interpolatory inequalities, dilational interpolatory inequalities (DII), are constructed. They have ordinary Hilbert scales (OHS) interpolatory inequalities as special cases. They represent a precise and...[Show more]

CollectionsANU Research Publications
Date published: 2011-04
Type: Journal article
URI: http://hdl.handle.net/1885/95163
Source: Mathematics of Computation
DOI: 10.1090/S0025-5718-2010-02431-7

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