期刊论文

Liu, Xiaoyou

英文

Journal of Function Spaces

2314-8896

2016

2016

1-6

10.1155/2016/6814326

The work was partly supported by National Natural Science Foundation of China (Grant nos. 11501374, 11501284), Natural Science Foundation of Zhejiang Province (Grant no. LQ14A010006), and Natural Science Foundation of Hunan Province (Grant no. 2015JJ6095)

本校为通讯机构

Let B be the real unit ball in R n and f C N (B). Given a multi-index m = (m 1,., m n) of nonnegative integers with | m | = N, we set the quantity s u p x B, y E (x, r), x ≠ y (1 - | x | 2) α (1 - | y | 2) β | ∂ m f (x) - ∂ m f (y) | / | x - y | γ [ x, y ] 1 - γ, x ≠ y, where 0 ≤ γ ≤ 1 and α + β = N + 1. In terms of it, we characterize harmonic Bloch and Besov spaces on the real unit ball. This generalizes the main results of Yoneda, ...