Yoshihiro Sawano

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Name
Yoshihiro Sawano
Affiliation
Tokyo Metropolitan University
Section
Department of Mathematics and Information Sciences
Job title
Associate Professor
Degree
Mathematical Science(The University of Tokyo)
Research funding number
40532635

Published Papers

 
COMPLEX INTERPOLATION OF SMOOTHNESS TRIEBEL-LIZORKIN-MORREY SPACES
Yoshihiro Sawano
Math. J. Okayama Univ.   61 99-128   Feb 2019   [Refereed][Invited]
Victor Burenkov, Arash Ghorbanalizadeh, Yoshihiro Sawano, Yoshihiro Sawano
Positivity   22 1097-1107   Sep 2018   [Refereed]
© 2018, Springer International Publishing AG, part of Springer Nature. In this paper, the Kantorovich operators Kn, n∈ N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the d...
Yoshihiro Sawano, Hiroko Yoshida
Science China Mathematics   61 1437-1472   Aug 2018   [Refereed]
© 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature. A predual of Bσ-spaces is investigated. A predual of a predual of Bσ-spaces is also investigated, which can be used to investigate the boundedness property of t...
Mieczysław Mastyło, Yoshihiro Sawano, Hitoshi Tanaka
Bulletin of the Malaysian Mathematical Sciences Society   41 1181-1198   Jul 2018   [Refereed]
© 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. We define Morrey-type spaces generated by a basis of measurable functions. The main result in this paper gives the description of the Köthe dual of these space...
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano, Yoshihiro Sawano
Bulletin of the Australian Mathematical Society   97 480-491   Jun 2018   [Refereed]
© 2018 Australian Mathematical Publishing Association Inc. We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then prove a Ha...
Alexander Meskhi, Yoshihiro Sawano
Mediterranean Journal of Mathematics   15    Jun 2018   [Refereed]
© 2018, Springer International Publishing AG, part of Springer Nature. In this note some structural properties of grand variable exponent Lebesgue/Morrey spaces over spaces of homogeneous type are obtained. In particular, it is proved that the clo...
Yoshihiro Sawano, Tetsu Shimomura
Georgian Mathematical Journal   25 303-311   Jun 2018   [Refereed]
© 2018 Walter de Gruyter GmbH, Berlin/Boston 2018. In this paper, we aim to deal with the boundedness and the weak-Type boundedness for the generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-d...
Denny Ivanal Hakim, Shohei Nakamura, Yoshihiro Sawano, Takuya Sobukawa
Complex Variables and Elliptic Equations   63 569-590   Apr 2018   [Refereed]
© 2017 Informa UK Limited, trading as Taylor & Francis Group. The upper and lower complex interpolation of BuW(Lp)-spaces and BuW(Mpq)-spaces are considered. When u0, u1and u are finite, we prove that [Bu0w0(Lp0), Bu1w1(Lp1)]θ = [Bu0w0(Lp0), Bu1...
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano
Nonlinear Analysis, Theory, Methods and Applications   168 27-31   Mar 2018   [Refereed]
© 2017 Elsevier Ltd In this paper, the size of the embedding constant from weak Morrey spaces into Morrey spaces is specified. As a by-product, the difference between weak Morrey spaces and Morrey spaces is clarified.
Yoshihiro Sawano, Tetsu Shimomura, Hitoshi Tanaka
Hokkaido Mathematical Journal   47 1-15   Jan 2018   [Refereed]
© 2018 Hokkaido University. Morrey norms, which are originally endowed with two parameters, are considered on general metric measure spaces. Volberg, Nazarov and Treil showed that the modified Hardy-Littlewood maximal operator is bounded on Legesg...
Yoshihiro Sawano, Saad R. El-Shabrawy
Mathematische Nachrichten   291 178-186   Jan 2018   [Refereed]
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim The main object of this investigation is to study weak Morrey spaces. Block spaces, which are preduals of weak Morrey spaces, are characterized. Besides, the Fatou property of block spaces is pro...
Shohei Nakamura, Yoshihiro Sawano
Banach Journal of Mathematical Analysis   12 1-30   Jan 2018   [Refereed]
© 2018 by the Tusi Mathematical Research Group. We introduce new function spaces to handle the Fourier transform on Morrey spaces and investigate fundamental properties of the spaces. As an application, we generalize the Stein-Tomas Strichartz est...
Sho Sonoda,Isao Ishikawa,Masahiro Ikeda,Kei Hagihara,Yoshihiro Sawano,Takuo Matsubara,Noboru Murata
CoRR   abs/1805.07517    2018   [Refereed]
Yoshihiro Sawano
Transactions of A. Razmadze Mathematical Institute   171 379-380   Dec 2017   [Refereed]
© 2017 Ivane Javakhishvili Tbilisi State University The Morrey space Mq̃pis disproved dense in Mqpif 1<q<q̃<p.
Denny Ivanal Hakim, Shohei Nakamura, Yoshihiro Sawano
Constructive Approximation   46 489-563   Dec 2017   [Refereed]
© 2017, Springer Science+Business Media, LLC. Recently more and more attention has been paid to subspaces of Morrey spaces. The description of interpolation results for many of these spaces is found. However, the ones for smoothness Morrey subspac...
Suzuki-Sawano E, Ueno K, Naganos S, Sawano Y, Horiuchi J, Saitoe M
Scientific reports   7(1) 17725   Dec 2017   [Refereed]
T. Nogayama, Y. Sawano
Mathematical Notes   102 687-697   Nov 2017   [Refereed]
© 2017, Pleiades Publishing, Ltd. Compactness of the commutator generated by fractional integral operators and Lipschitz functions is characterized, while its boundedness has already been characterized by Shirai.
Denny Ivanal Hakim, Yoshihiro Sawano
Journal of Fourier Analysis and Applications   23 1195-1226   Oct 2017   [Refereed]
© 2016, Springer Science+Business Media New York. In this paper, we are going to describe the first and second complex interpolations of closed subspaces of Morrey spaces, based on our previous results in [11]. Our results will be general enough b...
Denny Ivanal Hakim, Mitsuo Izuki, Yoshihiro Sawano
Monatshefte fur Mathematik   184 245-272   Oct 2017   [Refereed]
© 2017, Springer-Verlag Wien. The aim of this paper is to obtain the description of the first and second complex interpolations of grand Lebesgue spaces. We also investigate the complex interpolation of closed subspaces satisfying the lattice prop...
Vagif S. Guliyev, Sabir G. Hasanov, Yoshihiro Sawano
Positivity   21 1223-1252   Sep 2017   [Refereed]
© 2017, Springer International Publishing. We develop and apply a decomposition theory for generic local Morrey-type spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morrey-type spaces are isomorphic to Hardy l...

Misc

 
Yuzuru Inahama, Yoshihiro Sawano
   Jun 2018
We study the stochastic dissipative quasi-geostrophic equation with
space-time white noise on the two-dimensional torus. This equation is highly
singular and basically ill-posed in its original form. The main objective of
the present paper is to f...
Hitoshi Tanaka, Yoshihiro Sawano
   Jun 2016
In this paper under some growth condition we investigate the connection
between RBMO and the Morrey spaces. We do not assume the doubling condition
which has been a key property of harmonic analysis. We also obtain another type
of equivalent norms.
Yoshihiro Sawano
   Jun 2016
Dyadic fractional integral operators are shown to be bounded on Morrey spaces
and their preduals. It seems that the proof of the boundedness by means of
dyadic fractional integral operators is effective particularly on the preduals.
In the present...
Shohei Nakamura, Yoshihiro Sawano
   Jun 2016
In this paper, we give necessary conditions and sufficient conditions
respectively for the boundedness of the singular integral operator on the
weighted Morrey spaces. We observe the phenomenon unique to the case of Morrey
spaces; the Tex-theory...
Yoshihiro Sawano
   Mar 2016   [Refereed][Invited]
The spaces Tex equipped with the quotient topology
and Tex equipped with the weak-* topology are known to be
homeomorphic, where Tex denotes the set of all polynomials. The
proof is a combinat...
Yoshihiro Sawano
   Mar 2016
This note is based on a series of lectures delivered in Kyoto University.
This note surveys the homogeneous Besov space Tex on Tex with Tex and Tex in a rather
self-contained manner. Poss...
Saitoh Saburou, Sawano Yoshihiro
RIMS Kokyuroku   1980 200-206   Jan 2016
Yoshihiro Sawano, Hitoshi Tanaka
   Apr 2014
Around thirty years ago, block spaces, which are the predual of Morrey
spaces, had been considered. However, it seems that there is no proof that
block spaces satisfy the Fatou property. In this paper the Fatou property for
block spaces is verifie...
Sawano Yoshihiro, Tanaka Hitoshi, Sugano Satoko, Gala Sadek
RIMS Kokyuroku   1845 121-144   Jul 2013
Yoshihiro Sawano, Kôzô Yabuta
   May 2013
In this paper, we discuss the boundedness of the fractional type
Marcinkiewicz integral operators associated to surfaces, and extend a result
given by Chen, Fan and Ying in 2002. They showed that under certain conditions
the fractional type Marcin...
Izuki Mitsuo, Sawano Yoshihiro, Tanaka Hitoshi
RIMS Kokyuroku Bessatsu   22 21-60   Dec 2010   [Refereed][Invited]
Castro Luis P., Saitoh Saburou, Sawano Yoshihiro, Simoes Alberto M.
RIMS Kokyuroku   1719 142-154   Nov 2010
CASTRO Luis, 斎藤三郎, 澤野嘉宏, SILVA Anabela
理論応用力学講演会講演論文集   59th(0) 361-362   Jun 2010
In this presentation we use the Tikhonov regularizationto construct approximate solution for ordinary differential equations. We consider the uniform approximation.Here we present several numerical data.In particular we concentrate on how we recon...
澤野 嘉宏, 藤原 宏志, 齋藤 三郎
数理解析研究所講究録   1618 175-188   Dec 2008
梶野 直孝, 澤野 嘉宏, 藤原 宏志
数理解析研究所講究録   1618 189-191   Dec 2008
Yoshihiro Sawano
   Sep 2008
The aim of the present paper is to obtain a Sjölin-type maximal estimate
for pseudo-differential operators with homogeneous symbols. The crux of the
proof is to obtain a phase decomposition formula which does not involve the
time traslation. T...
澤野 嘉宏, 田中 仁
数理解析研究所講究録   1491 106-125   May 2006
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 217-230   Oct 2016
© Springer Science+Business Media Singapore 2016. We will give concrete representation formulas of the approximate solutions for linear ordinary differential equations following the Tikhonov regularization and using a finite number of data. For ot...
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 65-160   Oct 2016
© Springer Science+Business Media Singapore 2016. In Chap. 2, which is at the heart of this book, we develop the general theory of reproducing kernels and its fundamental properties. First, we establish that any positive definite kernel correspond...
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 321-386   Oct 2016
© Springer Science+Business Media Singapore 2016. In this chapter, we will gather simply several special hot and important topics from the viewpoint of the general theory of reproducing kernels.
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 161-196   Oct 2016
© Springer Science+Business Media Singapore 2016. By applying the general theory of reproducing kernels, we will consider the practical constructions of approximate solutions for bounded linear operator equations.
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 197-215   Oct 2016
© Springer Science+Business Media Singapore 2016. As stated in the preface, one of our strong motivations for writing this book is given by the historical success of the numerical and real inversion formulas of the Laplace transform which is a fam...
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 1-63   Oct 2016
© Springer Science+Business Media Singapore 2016. In Chap. 1 we introduce many examples of reproducing kernel Hilbert spaces (RKHSs for short). The reader may skip Chap. 1 and later go back to it if needed. We will consider RKHSs of Sobolev type, ...
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 231-294   Oct 2016
© Springer Science+Business Media Singapore 2016. In this chapter, we gather concrete results on typical linear partial differential equations using Tikhonov regularization and a finite number of data.
Saburou Saitoh, Yoshihiro Sawano
Developments in Mathematics   44 205-319   Oct 2016
© Springer Science+Business Media Singapore 2016. Singular integral equations are presently encountered in a wide range of mathematical models, for instance in acoustics, fluid dynamics, elasticity and fracture mechanics. Together with these model...

Books etc

 
齋藤 三郎, 澤野 嘉宏
Springer   2016   ISBN:9789811005299
Yoshihiro Sawano
Jan 2011   ISBN:4535786453

Conference Activities & Talks

 
Interpolation of Morrey spaces for general parameters [Invited]
Yoshihiro Sawano
International Conference on Function Spaces   Jul 2018   

Association Memberships

 
 

Social Contribution

 
What is necessary for mathematicians ?
[Lecturer]  Mar 2014