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IZUKI Mitsuo

Profile Research field Research achievement Educational achievement Social contribution achievement

 

Published Papers  
No.TitleJournalVolNoStart PageEnd PagePublication dateDOIReferee
1Real analysis without using the Hardy–Littlewood maximal operator Sugaku Expositions 36 199 219 Aug. 14, 2023 https://doi.org/10.1090/suga/4821
2Weighted local Hardy spaces with variable exponents MATHEMATISCHE NACHRICHTEN Jul. 2023 https://doi.org/10.1002/mana.2022002481
3A discussion of teaching multiplicative calculation by writing with "0" as a multiplier and a multiplicand Journal of Liberal Arts and Sciences at Tokyo City University 16 41 60 Apr. 2023  Not refereed 
4Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents Constructive Approximation 57 161 234 May. 24, 2022 https://doi.org/10.1007/s00365-022-09573-61Refereed 
5Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions Integral Equations and Operator Theory 94 Jan. 2022  Refereed 
6SOME MODULAR INEQUALITIES IN LEBESGUE SPACES WITH A VARIABLE EXPONENT Transactions of A. Razmadze Mathematical Institute 174 343 349 Dec. 2020  Refereed 
7Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent Nonlinear Analysis 198 111930 13 Sep. 2020 https://doi.org/10.1016/j.na.2020.1119301Refereed 
8The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO Journal of Inequalities and Applications 2019 Oct. 2019 https://doi.org/10.1186/s13660-019-2220-61Refereed 
9Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane Mathematical Notes 106 (2) 229 234 Aug. 2019  Refereed 
10Generalized Besov–Morrey spaces and generalized Triebel–Lizorkin–Morrey spaces on domains Mathematische Nachrichten 292 10 2212 2251 Aug. 2019  Refereed 
11Real analysis without using the Hardy-Littlewood maximal operator Sugaku 71 282 301 Jul. 2019  Refereed 
12Two Weighted Herz Spaces with Variable Exponents Bulletin of the Malaysian Mathematical Sciences Society 43 169 200 Sep. 19, 2018 https://doi.org/10.1007/s40840-018-0671-41Refereed 
13A simple estimate of the Bloch constant Communications in Mathematical Analysis 21 35 41 Apr. 2018  Refereed 
14An elementary proof of the Caratheodory kernel convergence theorem Azerbaijan Journal of Mathematics 69 85 Jan. 2018  Refereed 
15Complex interpolation of grand Lebesgue spaces MONATSHEFTE FUR MATHEMATIK 184 245 272 Oct. 2017 https://doi.org/10.1007/s00605-017-1022-51Refereed 
16AN INTRINSIC SQUARE FUNCTION ON WEIGHTED HERZ SPACES WITH VARIABLE EXPONENT JOURNAL OF MATHEMATICAL INEQUALITIES 11 799 816 Sep. 2017 https://doi.org/10.7153/jmi-2017-11-621Refereed 
17Characterization of BMO via ball Banach function spaces Vestnik Sankt-Peterburgskogo Universiteta. Matematika. Mekhanika. Astronomiya 4(62) 78 86 2017  Refereed 
18The Hardy-Littlewood maximal operator on some critical weighted Herz spaces with variable exponent JAEN JOURNAL ON APPROXIMATION 97 112 Dec. 30, 2016  Refereed 
19Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent MEDITERRANEAN JOURNAL OF MATHEMATICS 13 2981 3013 Oct. 2016 https://doi.org/10.1007/s00009-015-0668-21Refereed 
20Boundedness of fractional integrals on weighted Herz spaces with variable exponent JOURNAL OF INEQUALITIES AND APPLICATIONS Aug. 2016 https://doi.org/10.1186/s13660-016-1142-91Refereed 
21ANOTHER PROOF OF CHARACTERIZATION OF BMO VIA BANACH FUNCTION SPACES REVISTA DE LA UNION MATEMATICA ARGENTINA 57 103 109 2016  Refereed 
22WAVELET CHARACTERIZATION AND MODULAR INEQUALITIES FOR WEIGHTED LEBESGUE SPACES WITH VARIABLE EXPONENT ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 40 551 571 2015 https://doi.org/10.5186/aasfm.2015.40321Refereed 
23Variable Lebesgue norm estimates for BMO functions. II ANALYSIS MATHEMATICA 40 215 230 Sep. 2014 https://doi.org/10.1007/s10476-014-0304-61Refereed 
24Function spaces with variable exponents-an introduction- Scientiae Mathematicae Japonicae 77 187 315 2014 https://doi.org/10.32219/isms.77.2_1871Refereed 
25Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents Rendiconti del Circolo Matematico di Palermo 63 221 245 2014 https://doi.org/10.1007/s12215-014-0154-x1Refereed 
26A Criterion of Sampling Theorems on Banach Function Spaces TOKYO JOURNAL OF MATHEMATICS 36 131 145 Jun. 2013 https://doi.org/10.3836/tjm/13744975151Refereed 
27Remarks on Muckenhoupt weights with variable exponent Journal of Analysis and Applications 11 27 41 2013  Refereed 
28Hardy spaces with variable exponent RIMS Kokyuroku Bessatsu B42 109 136 2013  Refereed 
29The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent RIMS Kokyuroku Bessatsu B42 51 94 2013  Refereed 
30Variable Lebesgue norm estimates for BMO functions CZECHOSLOVAK MATHEMATICAL JOURNAL 62 717 727 Sep. 2012 https://doi.org/10.1007/s10587-012-0042-51Refereed 
31The compactly supported wavelet characterization of non-homogeneous Herz-Sobolev spaces with variable exponent ANALYSIS MATHEMATICA 38 19 40 Mar. 2012 https://doi.org/10.1007/s10476-012-0102-y1Refereed 
32Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces MATHEMATISCHE NACHRICHTEN 285 103 126 Jan. 2012 https://doi.org/10.1002/mana.2009102011Refereed 
33Wavelet characterization of Sobolev spaces with variable exponent Journal of Applied Analysis 17 37 49 Jun. 2011 https://doi.org/10.1515/JAA.2011.0021Refereed 
34Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent Rendiconti del Circolo Matematico di Palermo 59 461 472 Dec. 2010 https://doi.org/10.1007/s12215-010-0034-y1Refereed 
35Fractional integrals on Herz-Morrey spaces with variable exponent HIROSHIMA MATHEMATICAL JOURNAL 40 343 355 Nov. 2010 https://doi.org/10.32917/hmj/12918188491Refereed 
36Boundedness of commutators on Herz spaces with variable exponent Rendiconti del Circolo Matematico di Palermo 59 199 213 Aug. 2010 https://doi.org/10.1007/s12215-010-0015-11Refereed 
37Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization ANALYSIS MATHEMATICA 36 33 50 Mar. 2010 https://doi.org/10.1007/s10476-010-0102-81Refereed 
38The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 362 140 155 Feb. 2010 https://doi.org/10.1016/j.jmaa.2009.08.0051Refereed 
39VECTOR-VALUED INEQUALITIES ON HERZ SPACES AND CHARACTERIZATIONS OF HERZ-SOBOLEV SPACES WITH VARIABLE EXPONENT GLASNIK MATEMATICKI 45 475 503 2010 https://doi.org/10.3336/gm.45.2.141Refereed 
40Weighted Besov-Morrey spaces and Triebel-Lizorkin spaces RIMS Kokyuroku Bessatsu B22 21 60 2010  Refereed 
41Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with A(P)(loc)-weights JOURNAL OF APPROXIMATION THEORY 161 656 673 Dec. 2009 https://doi.org/10.1016/j.jat.2008.12.0031Refereed 
42Greedy bases in weighted modulation spaces NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 12 E2045 E2053 Dec. 2009 https://doi.org/10.1016/j.na.2009.03.0361Refereed 
43Wavelet Characterization of the Bergman Space on Strip Domains COMPLEX ANALYSIS AND OPERATOR THEORY 867 880 Dec. 2009 https://doi.org/10.1007/s11785-008-0087-51Refereed 
44THE CHARACTERIZATIONS OF WEIGHTED SOBOLEV SPACES BY WAVELETS AND SCALING FUNCTIONS TAIWANESE JOURNAL OF MATHEMATICS 13 2A 467 492 Apr. 2009 https://doi.org/10.11650/twjm/15004053501Refereed 
45The sampling theorem in variable Lebesgue spaces Proceedings of A. Razmadze Mathematical Institute 149 11 16 2009  Refereed 
46Boundedness of vector-valued sublinear operators on Herz--Morrey spaces with variable exponent Mathematical Sciences Research Journal 13 243 253 2009  Refereed 
47Herz and amalgam spaces with variable exponent, the Haar wavelets and greediness of the wavelet system East Journal on Approximations 15 87 109 2009  Refereed 
48Wavelet characterizations and wavelet bases of function spaces Feb. 2008  Refereed 
49Wavelets and modular inequalities in variable L-p spaces GEORGIAN MATHEMATICAL JOURNAL 15 281 293 2008  Refereed 
50Wavelet characterizations of weighted Herz spaces Scientiae Mathematicae Japonicae 67 353 363 2008 https://doi.org/10.32219/isms.67.3_3531Refereed 
51The haar wavelets and the haar scaling function in weighted Lp spaces with Ady, m p weights Hokkaido Mathematical Journal 36 417 444 2007 https://doi.org/10.14492/hokmj/12774728111Refereed 

 

MISC  
No.TitleJournalVolNoStart PageEnd PagePublication date
1ウェーブレットと変動指数Lebesgue空間におけるサンプリング定理 日本応用数理学会年会講演予稿集 2011 45 46 2011 

 

Conference Activities & Talks  
No.TitleConferencePublication datePromoterVenue
1Characterization of BMO via Banach function spaces Harmonic Analysis and its Applications in Tokyo 2015 Nov. 28, 2015 
2A real analytic study of various function spaces with variable exponent Mar. 17, 2014 
3Boundedness of some operators on Lebesgue and Herz spaces with variable exponent Feb. 22, 2010 
4Wavelets and scaling functions in weighted $L^p$ spaces Feb. 20, 2006 

 

Awards & Honors  
No.Publication dateAssociationPrizeSubtitle
1Feb. 2013 OCAMI Association Special Prize A real analytic study of various function spaces with variable exponent