Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (3): 270-277.
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In this paper,we define the Herz spaces and weak Herz spaces on spaces of homogeneous type and study teh properties of some sublinear operators on these spaces .
Key words: Ｓｐａｃｅｏｆｈｏｍｏｇｅｎｅｏｕｓｔｙｐｅ, Ｈｅｒｚｓｐａｃｅ, ＷｅａｋＨｅｒｚｓｐａｃｅ, Ｓｕｂｌｉｎｅａｒｏｐｅｒａ ｔｏｒ．
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Liu Zongguang Zen Yuesheng. The Herz Spaces on Space of Homogeneous Type and Their Applications[J].Acta mathematica scientia,Series A, 1999, 19(3): 270-277.
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http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I3/270
１ ＢａｅｒｎｓｔｅｉｎＡ，Ⅱ，ＳａｗｙｅｒＥ Ｔ．Ｅｍｂｅｄｄｉｎｇａｎｄ ｍｕｌｔｉｐｌｉｅｒｔｈｅｏｒｅｍｓｆｏｒHp（Rn）．Ｍｅｍ Ａｍｅｒ ＭａｔｈＳｏｃ，１９８５，５３（３１８）：１－８２ ２ ＣｏｉｆｍａｎＲＲ，ＷｅｉｓｓＧ．ＥｘｔｅｎｓｉｏｎｏｆＨａｒｄｙｓｐａｃｅａｎｄｔｈｅｉｒｕｓｅｉｎａｎａｌｙｓｉｓ．ＢｕｌｌＡｍｅｒＭａｔｈＳｏｃ，１９７７，８３：５６９－６４５ ３ 潘文杰．关于齐型空间上的分数次积分与极大函数的加权模不等式．北京大学学报（自然科学版），１９９０，２６（５）：５４３－ ５５３ ４ ＬｕＳｈａｎｚｈｅｎ，ＹａｎｇＤａｃｈｕｎ．ＴｈｅｄｅｃｏｍｐｏｓｉｔｉｏｎｏｆｔｈｅｗｅｉｇｈｔｅｄＨｅｒｚｓｐａｃｅｉｎRNａｎｄｉｔｓａｐｐｌｉｃａｔｉｏｎｓ．ＳｃｉｅｎｃｅｉｎＣｈIｎａＳｅｒＡ，１９９５，３８：１４７－１５８ ５ ＨｕＧｕｏｅｎ，ＬｕＳｈａｎｚｈｅｎ，ＹａｎｇＤａｃｈｕｎ．Ｔｈｅｗｅａｋ Ｈｅｒｚｓｐａｃｅｓ．ＪｏｕｒｏｆＢｅｉｊｉｎｇ ＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ（ＮａｔｕｒａｌＳｃｉｅｎｃｅ），１９９７，３１：２７－３６ ６ ＳｔｅｉｎＥ Ｍ．Ｓｉｎｇｕｌａｒｉｎｔｅｇｒａｌｓａｎｄｄｉｆｆｅｒｅｎｔｉａｂｉｌｉｔｙｐｒｏｐｅｒｔｉｅｓｏｆｆｕｎｃｔｉｏｎｓ．Ｐｒｉｎｃｅｔｏｎ：ＰｒｉｎｃｅｔｏｎＵｎｉｖｅｒｓｉｔｙＰｒｅｓｓ，１９７０
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