报告主题：Hausdorff operators on H^1 spaces
报告人： Dashan Fan 教授（University of Wisconsin-Milwaukee,USA）
报告时间：2016年5月17日（周二）15:00
报告地点：校本部G507
邀请人：赵发友
主办部门：8455新葡萄场网站数学系
报告摘要：It is known that the Hausdorff operator H_{Φ} is either bounded on the Lebesgue space L¹(??) or bounded on the Hardy space H¹(??) if and only if Φ is a Lebesgue integrable function, provided Φ≥0. This raises an interesting question: Whether the condition Φ≥0 can be removed? When n=1 we establish a sufficient condition for the H¹(?) boundedness of H_{Φ} and this result gives a negative answer to the above question. The problem remains open for the case n≥2.
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