Research keywords (1)：
Analytic Function Space Theory and Operator Theory. Composition operators and weighted composition operators on the Hardy, Bergman, Bloch spaces.
Research theme for competitive and other funds (9)：
2020 - 2024 Functional analysis approach to time evolution of graphs and its application
2021 - 2024 Hardy空間とBergman空間の間の荷重合成作用素の研究
2015 - 2019 Study of graph homomorphisms from functional analysis
2016 - 2019 解析関数の乗法演算と合成演算の代数構造と位相構造の研究
2015 - 2018 Researches on the structures of analytic function spaces and linear operators on them
2013 - 2016 解析関数への乗法演算と合成演算の位相構造の研究
2012 - 2015 Researches on the structures of the spaces of analytic and harmonic functions and operators on them
2012 - 2015 Study on the well-posedness of hyperbolic equation with memory
2008 - 2011 Functional analytic research of hyperbolic equations with memory
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Papers (21)：
Toshikazu Abe, Takuya Hosokawa. Integral-type operators between the weighted Lipschitz spaces on a tree. Nihonkai Mathematical Journal. 2021. 32. 1. 31-40
Weighted composition operators acting from the Lipschitz space to the space of bounded functions on a tree. Acta Scientiarum Mathematicarum (Szeged). 2020. 86. 1-2. 209-224
Some operators on power growth spaces on a tree
(2021年度関数環研究集会 2021)
tree上の関数空間とその上の荷重合成作用素
(2020年度関数環研究集会 2020)
Weighted composition operators between Bergman spaces
(Real, Complex and Functional Analysis Seminar 2019 2019)
Composition operators induced by products of analytic self-maps
(Spring Central and Western Joint Sectional Meeting of American Mathematical Society 2019)
Integral operators acting from Bergman spaces to BMOA-type spaces
(2018年度関数環研究集会 2018)
