Yoshihiro Sawano Last updated: Nov 12, 2018 at 16:09

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

-theory...

Yoshihiro Sawano

Mar 2016 [Refereed][Invited]

The spaces

equipped with the quotient topology

and

equipped with the weak-* topology are known to be

homeomorphic, where

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

on

with

and

in a rather

self-contained manner. Poss...

Sawano Yoshihiro, Saitoh Saburou

RIMS Kokyuroku 1980 95-102 Jan 2016

Sawano Yoshihiro

RIMS Kokyuroku 1980 103-105 Jan 2016

Saitoh Saburou, Sawano Yoshihiro

RIMS Kokyuroku 1980 106-124 Jan 2016

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...

Sawano Yoshihiro

RIMS Kokyuroku 1803 1-11 Aug 2012

澤野 嘉宏

数理解析研究所講究録 1803 1-11 Aug 2012

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

Sawano Yoshihiro, Yoneda Tsuyoshi

RIMS Kokyuroku 1529 97-109 Jan 2007

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

Social Contribution

What is necessary for mathematicians ?

[Lecturer] Mar 2014