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Characterizations of predual spaces to a class of Sobolev multiplier type spaces

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We characterize preduals and Kothe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and… Click to show full abstract

We characterize preduals and Kothe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and are also applicable to nonlinear partial differential equations. We make use of several tools from nonlinear potential theory, weighted norm inequalities, and the theory of Banach function spaces to obtain our results.

Keywords: type spaces; sobolev multiplier; multiplier type; class sobolev

Journal Title: Journal of Functional Analysis
Year Published: 2021

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