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

Keng Hao Ooi; Nguyen Cong Phuc

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arXiv · 2005.04349

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

Keng Hao Ooi·Nguyen Cong Phuc

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Abstract

We characterize preduals and K\"othe 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.

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Keng Hao Ooi, Nguyen Cong Phuc. 2020-05-09. Characterizations of predual spaces to a class of Sobolev multiplier type spaces. https://arxiv.org/abs/2005.04349

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