研究者情報
研究者名 |
野井 貴弘(のい たかひろ) |
研究分野 |
関数空間における種々の作用素の有界性/変動指数を持つ関数空間 |
研究業績 |
(学術論文)
- Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents. Constructive Approximation (2022) Vol 57. (With M. Izuki, T. Nogayama and Y. Sawano)
- Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent. Nonlinear Analysis, Theory, Methods and Applications (2020) Vol 198, Article 11930. (With M. Izuki, T. Nogayama and Y. Sawano)
- The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO. Journal of Inequalities and Applications. (2019) Article number 268, 11pages. (With M. Izuki and Y. Sawano)
- Some modular inequalities in Lebesgue spaces with variable exponent on the complex plane. Mathematical Notes. (2019) Vol 106, 229-234. (With M. Izuki, T. Koyama and Y. Sawano)
- Characterization of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces by differences. RIMS Kokyuroku Bessatsu B74. (2019) 93-126. (With M. Izuki)
- Generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morreyspaces on domains. Mathematische Nachrichiten. (2019) Vol 292, 2212-2251. (With M. Izuki)
- Two weighted Herz spaces with variable exponent. Bulltein of the Malaysian Mathematical Sciences Society. (online first)(With M. Izuki)
- A simple estimate of the Bloch constant. Communications in Mathematical Analysis. Vol 21 (2018) 35-41. (With M. Izuki, T. Koyama and T. Takeuchi)
- An instrinsic square function on weighted Herz spaces with variable exponent. Journal of Mathematical Inequalities. Vol 11 (2017) 799-816. (With M. Izuki)
- Generalized Hardy-Morrey spaces. Zeitschrift fur Analysis und ihre Anwendungen. Vol 36 (2017) 129-149. (With A. Akubulut, V. Guliyev and Y. Sawano)
- Generalized Morrey spaces -revisited. Zeitschrift fur Analysis und ihre Anwendungen. Vol 36 (2017) 17-35. (With A. Akububut, V. Guliyev and Y. Sawano)
- The Hardy-Littlewood maximal operator on some critical weighted Herz spaces with variable exponent. Jaen Journal on Approximation. Vol 8 (2016), 97-112.(With M. Izuki)
- Boundedness of fractional integrals on weighted Herz spaces with variable exponent. Journal of Inequalities and Applications. (2016) 2016:199, 15 pages.(With M. Izuki)
- Nonsmooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind. Acta Applicandae Mathematicae. (2016) Vol 145, 133-174. (With V. Guliyev, S. Hasanov and Y. Sawano)
- Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents.
- Hardy spaces associated to critical Herz spaces with variable exponent. Mediterranean Journal of Mathematics. Vol 13 (2016) 2981-3013. (With M. Izuki)
- Trace operator for 2-microlocal Besov spaces with variable exponents. Tokyo Journal of Mathematics (2016) Vol 39, 293-327.
- Conservative difference schemes for the numerical solution of the Gardner equation. Computational and Applied Mathematics Vol 35 (2016) 75-95. (With H. Nishiyama)
- Generalized Morrey spaces and trace operator. Science China Mathematics. (2016) Vol 59, 281-336. (With S. Nakamura and Y. Sawano)
- Weighted variable modulation spaces. Scientiae Mathematicae Japonicae. (2015) whole number 28, 2015-4, 13 pages (With Y. Sawano)
- Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents. Rendiconti del Circolo Matematico di Palermo (2). Vol. 63 (2014) 221-245.(With M. Izuki)
- Fourier multiplier theorems for Besov and Triebel-Lizorkin spaces with variable exponents. Mathematical Inequalities and Applications. Vol. 17 (2014) 49-74.
- A characterization of Triebel-Lizorkin spaces and Besov spaces by BMO families expansion. Georgian Mathematical Journal. Vol. 19 (2012) 741-761.
- Conservative finite difference schemes for the generalized Zakharov-Kuznetsov equations. Journal of Computational and Applied mathematics. Vol. 236 (2012) 2998-3006.(With H. Nishiyama and S. Oharu)
- Duality of variable exponent Triebel-Lizorkin and Besov spaces. Journal of Function Spaces and Applications. Vol. 2012 (2012) Article ID 361807, 19 pages
- Complex interpolation of Besov spaces and Triebel-Lizorkin spaces with variable exponents. Journal of Mathematical Analysis and Applications. Vol. 387 (2012) 676-690. (With Y. Sawano)
(出版)
- 共著:出耒 光夫、澤野嘉宏、野井貴弘、「[詳解]複素解析学」(日本評論社、2022年)
(競争的資金)
- 研究種目: 日本学術振興会・科学研究費・若手研究(B)
課題番号 17K14207 研究期間: 2017年度から2021年度
研究課題名: Besov型関数空間とTriebel-Lizorkin型空間の実解析的研究
研究代表者: 野井貴弘
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卒業研究 |
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授業
担当授業 |
微分積分学I,II
線形代数学I, II
機械系数学
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授業配布物 |
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