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Abstract We work with spaces ( A 0 , A 1 ) θ , q , A which are logarithmic perturbations of the real interpolation spaces. We determine the dual… Click to show full abstract
Abstract We work with spaces ( A 0 , A 1 ) θ , q , A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of ( A 0 , A 1 ) θ , q , A when 0 q 1 . As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A . Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are close to the Macaev ideals.
Keywords:
applications duality;
dual space;
interpolation spaces;
duality logarithmic;
interpolation
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!