神奈川工科大学

（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