Anisotropic weak Hardy spaces and interpolation theorems

作者：Ding Yong^*; Lan SenHua

来源：Science in China Series A-Mathematics, 2008, 51(9): 1690-1704.

DOI：10.1007/s11425-008-0009-z

• anisotropic Hardy space
• anisotropic weak Hardy space
• atomic decomposition
• interpolation
• singular integral

In this paper, the authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.

• 出版日期2008-9
• 单位北京师范大学; 丽水学院