AccessJP

Search

Menu

Study at TCU

Reseacher

Name IZUKI Mitsuo
Official Title Associate Professor
Affiliation Real Analysis, Complex Analysis
E-mail izuki@tcu.ac.jp
Web
  1. http://www.risys.gl.tcu.ac.jp/Main.php?action=profile&type=detail&tchCd=5002119
  2. https://researchmap.jp/mitsuo-1zuki?fbclid=IwAR1xA5qye3_X9sOAf2id00ITXabVsNirAmbbO87Fcf1Lp-LXAXbkT0y8SlU
Profile My specialty is real analysis.I have studied characterization and construction of basis of function spaces.In particular, I am interested in function spaces with variable exponentand also study boundedness of operators and integral inequality in those spaces.Recently I consider complex analysis with one variable and the theory of complex variable function spaces.
Research Field(Keyword & Summary)
  1. (1) Wavelet Analysis

    I study wavelet characterization and construction of some proper bases of several function spaces applying suitable wavelets. In particular, a remarkable basis called greedy gives us a non-linear good approximation of functions and it is applicable to various fields. I am interested in conditions of function spaces for the construction of greedy systems.

  2. (2) Variable Exponent Analysis

    I am interested in function spaces and integral inequalities with variable exponents. In order to find basic properties of those space, I focus on boundedness of foundamental operators. Recently I also study the theory of Muckenhoupt weights with variable exponent.
Representative Papers
  1. (1) M. Izuki, T. Nogayama, T. Noi and Y. Sawano, Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent, Nonlinear Analysis 198(111930) 1-13, 2020.
  2. (2) M. Izuki and T. Noi, Two weighted Herz spaces with variable exponents, Bulletin of the Malaysian Mathematical Sciences Society 43 169-200, 2020.
  3. (3) M. Izuki, T. Noi and Y. Sawano, The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO, Journal of Inequalities and Applications, Article number: 268, 2019
  4. (4) M. Izuki and T. Noi, Generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on domains, Mathematische Nachrichten 292(10) 2212-2251, 2019.
  5. (5) M. Izuki and T. Noi, Hardy spaces associated to critical Herz spaces with variable exponent, MEDITERRANEAN JOURNAL OF MATHEMATICS 13(5) 2981-3013, 2016.
  6. (6) M. Izuki, E. Nakai and Y. Sawano, WAVELET CHARACTERIZATION AND MODULAR INEQUALITIES FOR WEIGHTED LEBESGUE SPACES WITH VARIABLE EXPONENT, ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 40(2) 551-571, 2015.
  7. (7) M. Izuki, E. Nakai and Y. Sawano, Function spaces with variable exponents-an introduction-, Scientiae Mathematicae Japonicae 77 187-315, 2014.
  8. (8) M. Izuki and Y. Sawano, A criterion of sampling theorems on Banach function spaces, Tokyo Journal of Mathematics 36, no. 1, 131–145, 2013.
  9. (9) M. Izuki, Boundedness of commutators on Herz spaces with variable exponent, Rendiconti del Circolo Matematico di Palermo 59(2) 199-213, 2010.
  10. (10) M. Izuki, Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization, ANALYSIS MATHEMATICA 36(1) 33-50, 2010.
Award OCAMI Association Special Prize 2012
Grant-in-Aid for Scientific Research Support: Japan Society for Promotion of Science (JSPS) https://nrid.nii.ac.jp/ja/nrid/1000080507179/
Recruitment of research assistant(s) No.
Affiliated academic society (Membership type) The Mathematical Society of Japan (Fellow)
Education Field (Undergraduate level) Calculus, Linear Algeba, Ordinary Differential Equations, Lebesuge Integrals, Complex Analysis, Functional Analysis
Education Field (Graduate level) Real Analysis, Complex Analysis, Fourier Analysis

Affiliation