数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1467-1473.doi: 10.1016/S0252-9602(16)30082-0
WANDERING SUBSPACES OF THE HARDY-SOBOLEV SPACES OVER Dn
肖杰胜1, 曹广福2
- 1. Nanhu College, Jiaxing University, Jiaxing 314001, China Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
2. Department of Mathematics, South China Agricultural University, Guangzhou 510642, China
WANDERING SUBSPACES OF THE HARDY-SOBOLEV SPACES OVER Dn
Jiesheng XIAO1, Guangfu CAO2
- 1. Nanhu College, Jiaxing University, Jiaxing 314001, China Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
2. Department of Mathematics, South China Agricultural University, Guangzhou 510642, China
摘要：
In this paper, we show that for (log(2)/(3))/(2 log 2)≤β≤(1)/(2), suppose S is an invariant subspace of the Hardy-Sobolev spaces Hβ2(Dn) for the n-tuple of multiplication operators (Mz1,…, Mzn). If (Mz1|S,…, Mzn|S) is doubly commuting, then for any non-empty subset α={α1,…, αk} of {1,…,n}, WαS is a generating wandering subspace for Wα|S=(Mzα1|S,…, Mzαk|S), that is,[WαS]Wα|S=S, where WαS
(S?zαiS).
中图分类号:
- 47A15