期刊论文

Rasila, Antti

英文

MONATSHEFTE FUR MATHEMATIK

0026-9255

2020

191

3

513-536

10.1007/s00605-020-01373-z

This research was partly supported by the Hunan Provincial Education Department Outstanding Youth Project (No. 18B365 and No. 19B079), the Science and Technology Plan Project of Hengyang City (No. 2018KJ125), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), and the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (No. IIPA18K06). The research of A. Rasila was partly supported by NSF of China (No. 11971124). This research was partly supported by the Hunan Provincial Education Department Outstanding Youth Project (No. 18B365 and No. 19B079), the Science and Technology Plan Project of Hengyang City (No. 2018KJ125), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), and the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (No. IIPA18K06). The research of A. Rasila was partly supported by NSF of China (No. 11971124).

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In this paper, we will give new characterizations of Lipschitz-type spaces, and establish related growth theorems for Bloch-type spaces. Then we will present applications to certain PDEs. We will also consider the Dirichlet-type energy integrals and their applications. © 2020, Springer-Verla...