This paper is motivated by Phong and Stein's paper on non-standard singular integrals with mixed homogeneities. Our purpose is to study these new non-standard convolution singular integrals and establish the boundedness of these singular integrals on the Hardy spaces.
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Univ S Australia, Sch Informat Technol & Math Sci, Mawson Lakes, SA 5095, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Chen, Peng
Xuan Thinh Duong
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Macquarie Univ, Dept Math, N Ryde, NSW 2109, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Xuan Thinh Duong
Li, Ji
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Macquarie Univ, Dept Math, N Ryde, NSW 2109, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Li, Ji
Ward, Lesley A.
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Univ S Australia, Sch Informat Technol & Math Sci, Mawson Lakes, SA 5095, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Ward, Lesley A.
Yan, Lixin
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
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Eotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, Budapest 1117, HungaryEotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, Budapest 1117, Hungary
Szarvas, Kristof
Weisz, Ferenc
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Eotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, Budapest 1117, HungaryEotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, Budapest 1117, Hungary
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Beijing Normal Univ, Lab Math & Complex Syst BNU, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Lab Math & Complex Syst BNU, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
Ding, Yong
Sato, Shuichi
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Kanazawa Univ, Dept Math, Fac Educ, Kanazawa, Ishikawa 9201192, JapanBeijing Normal Univ, Lab Math & Complex Syst BNU, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
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Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Jiangsu, Peoples R China
Tan, Jian
Han, Yanchang
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaNanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Jiangsu, Peoples R China