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arXiv · 2009.12223

Complex interpolation of function spaces with general weights

Douadi Drihem
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Abstract

In this paper, we present the complex interpolation of Besov and Triebel-Lizorkin spaces with generalized smoothness. In some particular cases these function spaces are just weighted Besov and Triebel-Lizorkin spaces. An application, we obtain the complex interpolation between the weighted Triebel-Lizorkin spaces $\dot{F}_{p_{0},q_{0}}^{s_{0}}(\omega_{0})$ and $\dot{F}_{\infty ,q_{1}}^{s_{1}}(\omega_{1})\ $with suitable assumptions on the parameters $\ s_{0},s_{1},p_{0},$ $q_{0}$ and$\ q_{1}$, and the pair of weights $(\omega_{0},\omega_{1})$.

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Douadi Drihem. 2020-09-24. Complex interpolation of function spaces with general weights. https://arxiv.org/abs/2009.12223

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