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| 1 | Orlicz-Hardy spaces and their duals显示文摘We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application,duality of Hardy spaces with variable exponents is revisited.This work is different from earlier works about Orlicz-Hardy spaces H(Rn)in that the class of admissible functions is largely widened.We can deal with,for example,(r)≡(rp1(log(e+1/r))q1,01,with p1,p2∈(0,∞)and q1,q2∈(.∞,∞),where we shall establish the boundedness of the Riesz transforms on H(Rn).In particular,is neither convex nor concave when 00.If(r)≡r(log(e+r))q,then H(Rn)=H(logH)q(Rn).We shall also establish the boundedness of the fractional integral operators I of order∈(0,∞).For example,I is shown to be bounded from H(logH)1./n(Rn)to Ln/(n.)(log L)(Rn)for 0< | NAKAI Eiichi SAWANO Yoshihiro | 2014 | Science China Mathematics2014，57，5： | 14 |
| 2 | A Generalization of Hardy Spaces H^p by Using Atoms显示文摘让 X =(X, d,μ) 是在 Coifman 和 Weiss 的意义的同类的类型的一个空格。这篇论文的目的是概括强壮的空间 H p (X) 并且证明概括强壮的空格有象 H p (X) 。我们的定义与可变代表包括一种 Hardy-Orlicz 空格和一种强壮的空格。结果甚至为 ℝ
n 大小写。让(X, δ
,μ) 是规范的空间(X, d,在 Mac í a s 和 Segovia 的意义的μ) 。我们也学习我们的函数空格的关系为(X, d,μ) 并且(X, δ
,μ) 。 | Eiichi NAKAI | 2008 | Acta Mathematica Sinica,English Series2008，24，8： | 5 |
| 3 | CXCL12 secreted from glioma stem cells regulates their proliferation显示文摘 | Youji Uemae Eiichi Ishikawa Satoru Osuka Masahide Matsuda Noriaki Sakamoto Shingo Takano Kei Nakai Tetsuya Yamamoto Akira Matsumura | 2014 | Journal of Neuro-Oncology2014，，1： | 1 |
| 4 | Hardy spaces with variable exponents and generalized Campanato spaces显示文摘 | Eiichi Nakai Yoshihiro Sawano | 2012 | Journal of Functional Analysis2012，，9： | 1 |
| 5 | Hardy spaces with variable exponents and generalized Campanato spaces显示文摘 | Eiichi Nakai Yoshihiro Sawano | 2012 | Journal of Functional Analysis2012，，9： | 1 |
| 6 | Validation of an HPLC Analytical Method Coupled to a Multifunctional Clean-up Column for the Determination of Deoxynivalenol显示文摘 | Yoshiko Sugita-Konsihi Toshitsugu Tanaka Setsuko Tabata Masahiro Nakajima Masanori Nouno Yoko Nakaie Takao Chonan Mitsutoshi Aoyagi Nobuyuki Kibune Kazutoshi Mizuno Eiichi Ishikuro Naoki Kanamaru Masatoshi Minamisawa Norio Aita Masayo Kushiro Kenji Tanaka | 2006 | Mycopathologia2006，，4： | 1 |
| 7 | Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition显示文摘We investigate the boundedness of singular and fractional integral operators on generalized Hardy spaces defined on spaces of homogeneous type, which are preduals of Campanato spaces with variable growth condition. To do this we introduce molecules with variable growth condition. Our results are new even for R^n case. | NAKAI Eiichi | 2017 | Science China Mathematics2017，60，11： | 0 |
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