Anisotropic weak Hardy spaces and interpolation theorems |
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| Authors: | Yong Ding SenHua Lan |
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| Affiliation: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China;(2) Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China;(3) Department of Mathematics, Lishui University, Lishui, 323000, China |
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| Abstract: | 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. |
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| Keywords: | anisotropic Hardy space anisotropic weak Hardy space atomic decomposition in-terpolation singular integral |
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