In this paper, by using the idea of linearizing maximal operators originated by Charles Fefferman and the TT* method of Stein-Wainger, we establish a weighted inequality for vector valued maximal Carleson type operators with singular kernels proposed by Andersen and John on the weighted Lorentz spaces with vector-valued functions.
机构:
Beijing Normal Univ, Minist Educ China, Sch Math Sci, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Minist Educ China, Sch Math Sci, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R China
Ding, Yong
Liu, Honghai
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Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R ChinaBeijing Normal Univ, Minist Educ China, Sch Math Sci, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R China
机构:
Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China
Si, Zengyan
Xue, Qingying
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Beijing Normal Univ, Minist Educ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China