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A predual of a predual of B_σ and its applications to commutators

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Science China Mathematics 2018年第8期61卷 1437-1472页

作者： yoshihiro sawano Hiroko Yoshida Department of Mathematics and Information Science Tokyo Metropolitan University

A predual of B_σ-spaces is investigated. A predual of a predual of B_σ-spaces is also investigated,which can be used to investigate the boundedness property of the commutators. The relation between Herz spaces and local Morrey spaces is discussed. As an application of the duality results, one obtains the boundedness of the singular integral operators, the Hardy-Littlewood maximal operators and the fractional integral operators, as well as the commutators generated by the bounded mean oscillation(BMO) and the singular integral *** is new in this paper is that we do not have to depend on the specific structure of the operators. The results on the boundedness of operators are formulated in terms of B_σ-spaces and B_σ-spaces together with the detailed comparison of the ones in Herz spaces and local Morrey spaces. Another application is the nonsmooth atomic decomposition adapted to B_σ-spaces.

关键词： B_σ-spaces duality decomposition Herz spaces local Morrey spaces

Morrey Spaces for Non-doubling Measures

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Acta Mathematica Sinica,English Series 2005年第6期21卷 1535-1544页

作者： yoshihiro sawano Hitoshi TANAKA Graduate. School of Mathematical Sciences The University of Tokyo 3-8-1 KomabaMeguro-ku Tokyo 153-8914 Japan

The authors give a natural definition of Morrey spaces for Radon measures which may be non-doubling but satisfy certain growth condition, and investigate the boundedness in these spaces of some classical operators in ... 详细信息

关键词： Morrey space non-doubling measure vector-valued

Complex interpolation of various subspaces of Morrey spaces

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Science China Mathematics 2020年第5期63卷 937-964页

作者： Denny Ivanal Hakim yoshihiro sawano Department of Mathematics and Information Sciences Tokyo Metropolitan UniversityTokyo 192-0397Japan Department of Mathematics Bandung Institute of TechnologyBandung 40132Indonesia Department of Mathematics Analysis and the Theory of Functions Peoples’Friendship University of RussiaMoscow 117198Russia

In this article,we discuss the complex interpolation of various closed subspaces of Morrey *** have been considering some closed subspaces of Morrey spaces in our earlier *** main property that we need is the lattice property but in connection with the diamond spaces defined by Yuan et al.(2015),it seems to be natural to consider the convolution property as *** result will extend the results by Hakim and sawano(2017)and Hakim et al.(2017).

关键词： smoothness Morrey spaces complex interpolation square function

Orlicz-Hardy spaces and their duals

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Science China Mathematics 2014年第5期57卷 903-962页

作者： NAKAI Eiichi sawano yoshihiro Department of Mathematics Ibaraki UniversityMitoIbaraki 310-8512Japan Department of Mathematics and Information Sciences Tokyo Metropolitan UniversityMinami-Ohsawa 1-1Hachioji-shiTokyo 192-0397Japan

We establish the theory of Orlicz-Hardy spaces generated by a wide class of *** class will be wider than the class of all the *** particular,we consider the non-smooth atomic *** relation between Orlicz-Hardy spaces and their duals is also *** an application,duality of Hardy spaces with variable exponents is *** work is different from earlier works about Orlicz-Hardy spaces H（Rn）in that the class of admissible functions is largely *** can deal with,for example,Ф（r）≡（rp1（log（e＋1/r））q1,0〈r≤1,r^p2 （log（e＋r））q2,r〉1,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 0〈p1〈1〈p2〈∞,0〈p21〈p1〈∞or p1=p2=1 and q1,***（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）1^1-α/n（Rn）to Ln/（n-α）（log L）（Rn）for 0〈α〈n.

关键词： Hardy space Orlicz space atomic decomposition Campanato space bounded mean oscillation

Generalized Morrey spaces and trace operator

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Science China Mathematics 2016年第2期59卷 281-336页

作者： NAKAMURA Shohei NOI Takahiro sawano yoshihiro Department of Mathematics and Information Science Tokyo Metropolitan University

The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarify the role of the parameter of generalized Morrey spaces. The quarkonial decomposition is obtained as an application of the atomic decomposition. In the end, the relation between the function spaces dealt in the present paper and the foregoing researches is discussed.

关键词： Morrey space trace operator decomposition

Multilinear Fractional Integrals on Morrey Spaces

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Acta Mathematica Sinica,English Series 2012年第7期28卷 1375-1384页

作者： Takeshi IIDA Enji SATO yoshihiro sawano Hitoshi TANAKA Department of Mathematical Sciences Faculty of ScienceYamagata University Department of Mathematics Kyoto University Graduate School of Mathematical Sciences The University of Tokyo

In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality.

关键词： Multilinear fractional integral operators Morrey spaces

A potential new tool to enhance translational success rate in stroke research by backcrossing techniques in transgenic mice

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Neural Regeneration Research 2023年第1期18卷 107-108页

作者： Takayuki Nakagomi Hideaki Nishie Toshinori sawano Akiko Nakano-Doi Institute for Advanced Medical Sciences Hyogo College of MedicineHyogoJapan Department of Therapeutic Progress in Brain Diseases Hyogo College of MedicineHyogoJapan Department of Biomedical Sciences Ritsumeikan UniversityShigaJapan

Ischemic stroke is a leading disease of the central nervous system,frequently coupled to severe damage and dysfunction in *** models mimicking human stroke provide useful tools for studying the pathomechanisms(e.g.,inflammation,neuroprotection,and neural regeneration),the treatment efficiency of various materials(e.g.,bioactive molecules or drugs),and transplantation usefulness by various cell types[e.g.,neural stem/progenitor cells(NSPCs),and mesenchymal or hematopoietic stem cells]under ischemic stroke.

关键词： inflammation damage neural

Unexpectedly Good Neurological Outcome after Prolonged Cardiac Arrest

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Open Journal of Emergency Medicine 2019年第1期7卷 1-7页

作者： Kohei Ichinohashi Tomoaki Natsukawa Takahiro Ueda Hirotaka sawano Yasuyuki Hayashi Hironori Shigeoka Yasuhide Kitazawa Atsushi Hiraide Department of Emergency and Critical Care Medicine Faculty of Medicine Kindai University Osaka Japan

Backgoround: Generally, neurological outcome of patients who have achieved return of spontaneous circulations (ROSC) with abnormal blood tests date and some severe organ complications is extremely poor. Because we experienced a case of good neurological outcome using two different types of extracorporeal membrane oxygenation (ECMO) in spite of prolonged cardiac arrest, we reported this case and reviewed the literature. Case presentation: A 36-year-old male suddenly collapsed at bar after drinking. Initial ECG showed ventricular fibrillation (VF) and subsequently underwent advanced cardiovascular life support. On admission, the ECG still showed VF, but pupillary light reflex was faintly present. Then, veno-arterial extracorporeal membrane oxygenation (VA-ECMO) support was established 54 minutes after collapse. Blood tests showed lactate was 15.8 mmol/l and NH3 of 251 μg/dl. To improve respiratory function after cardiogenic shock, we changed to veno-venous ECMO (VV-ECMO) and removed superabundant fluid using continuous hemodiafiltration. Patient was discharged on day-26 after a full functional recovery. Conclusion: In severe respiratory disorder, it would be more effective to change to VV-ECMO after recovering from cardiogenic shock while removing superabundant fluid using continuous hemodiafiltration. In predicting the neurological outcome of a post cardiac arrest patient, the presence of a pupillary light reflex may be more significant than NH3 and lactate.

关键词： Cardiac Arrest Extracorporeal Membrane Oxygenation (ECMO) Neurological Outcome

TEM Observation of Si0.99C0.01 Thin Films with Arsenic-Ion-, Boron-Ion-, and Silicon-Ion-Implantation Followed by Rapid Thermal Annealing

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Journal of Materials Science and Chemical Engineering 2017年第1期5卷 15-25页

作者： Junji Yamanaka Shigenori Inoue Keisuke Arimoto Kiyokazu Nakagawa Kentarou sawano Yasuhiro Shiraki Atsushi Moriya Yasuhiro Inokuchi Yasuo Kunii Center for Crystal Science and Technology University of Yamanashi Kofu Japan Advanced Research Laboratories Tokyo City University Tokyo Japan Hitachi Kokusai Electric Inc. Toyama Japan

Strained Si and its related materials, such as strained SiGe and strained silicon-carbon alloy (Si-C), are receiving tremendous interest due to their high carrier mobility. In this study we carry out a basic investigation of the change in microstructure of ion-implanted Si-C solid solution caused by rapid thermal annealing, because it is very important to realize a field-effect transistor made of this new material. The microstructures of arsenic-ion-, boron-ion-, and silicon-ion-implanted Si0.99C0.01 specimens upon thermal annealing are observed using transmission electron microscopy, and it is revealed that the rate of solid-state crystallization of ion-implanted Si-C is slower than that of the ion-implanted Si.

关键词： Strained Heterodevice Silicon-Carbon Alloy Ion Implantation Transmission Electron Microscopy