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arXiv · 1303.5032

Analytic Campanato Spaces and Their Compositions

Jie Xiao·Cheng Yuan
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Abstract

This paper is devoted to characterizing the analytic Campanato spaces $\mathcal{AL}_{p,η}$ (including the analytic Morrey spaces, the analytic John-Nirenberg space, and the analytic Lipschitz/Hölder spaces) on the complex unit disk $\mathbb D$ in terms of the Möbius mapping and the Littlewood-Paley form, and consequently their compositions with the analytic self-maps of $\mathbb D$.

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Jie Xiao, Cheng Yuan. 2014-01-11. Analytic Campanato Spaces and Their Compositions. https://arxiv.org/abs/1303.5032

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