假設(shè)L=-Δ+μ是Rⁿ（n≥3）上的廣義Schr?dinger算子,其中μ■0是非負(fù)Radon測度滿足尺度不變的Kato條件和雙倍條件.本文引進(jìn)了與廣義Schr?dinger算子L相關(guān)的Herz型Hardy空間,證明了與廣義Schr?dinger算子L相關(guān)的Herz型Hardy空間的原子分解,作為應(yīng)用,得到了與廣義Schr?dinger算子L相關(guān)的Marcinkiewicz積分μ_j^L在Herz型Hardy空間上的有界性. 

【文章來源】：數(shù)學(xué)進(jìn)展. 2020,49(05)北大核心CSCD

【文章頁數(shù)】：14 頁

【參考文獻(xiàn)】：
期刊論文
[1]非齊度量測度空間上的Herz型Hardy空間[J]. 韓瑤瑤,趙凱.  中國科學(xué):數(shù)學(xué). 2018(10)
[2]Hardy-Hausdorff spaces on the Heisenberg group[J]. ZHAO Kai.  Science China（Mathematics）. 2016(11)
[3]Anisotropic Hardy-Lorentz spaces and their applications[J]. LIU Jun,YANG DaChun,YUAN Wen.  Science China（Mathematics）. 2016(09)
[4]Hardy spaces HLp（Rn） associated with operators satisfying k-Davies-Gaffney estimates[J]. CAO Jun & YANG DaChun School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China.  Science China（Mathematics）. 2012(07)
[5]Anisotropic singular integrals in product spaces[J]. BOWNIK Marcin.  Science China（Mathematics）. 2010(12)
[6]Herz型空間（英文）[J]. 陸善鎮(zhèn).  數(shù)學(xué)進(jìn)展. 2004(03)
[7]Boundedness of commutators on homogeneous Herz spaces[J]. 陸善鎮(zhèn),唐林,楊大春.  Science in China,Ser.A. 1998(10)
[8]The weighted Herz-type Hardy space and its applications[J]. 陸善鎮(zhèn),楊大春.  Science in China,Ser.A. 1995(06)
[9]The decomposition of weighted Herz space on Rn and its applications[J]. 陸善鎮(zhèn),楊大春.  Science in China,Ser.A. 1995(02)
[10]伴隨一類塊空間的Hardy空間的某些特征[J]. 陸善鎮(zhèn),楊大春.  北京師范大學(xué)學(xué)報(自然科學(xué)版). 1991(03)



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