Mikio Kato
- Mathematical Physics top 2%
- Applied Mathematics top 2%
- Computational Theory and Mathematics top 2%
- Geometry and Topology top 5%
- Statistics and Probability top 5%
- Co-authors
- Yasuji TakahashiKichi-Suke SaitoLech MaligrandaTakayuki TamuraKen-ichi MiyazakiTomonari SuzukiMasatoshi FujiiLars‐Erik Persson
- Topics
- Advanced Banach Space Theory (27 papers)Functional Equations Stability Results (11 papers)Mathematical Inequalities and Applications (11 papers)
In The Last Decade
Mikio Kato
35 papers receiving 368 citations
Peers
Comparison fields: 5 of 20
- Mathematical Physics 365
- Applied Mathematics 299
- Computational Theory and Mathematics 211
- Geometry and Topology 159
- Statistics and Probability 103
Countries citing papers authored by Mikio Kato
This map shows the geographic impact of Mikio Kato's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mikio Kato with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mikio Kato more than expected).
Fields of papers citing papers by Mikio Kato
This network shows the impact of papers produced by Mikio Kato. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mikio Kato. The network helps show where Mikio Kato may publish in the future.
Co-authorship network of co-authors of Mikio Kato
This figure shows the co-authorship network connecting the top 25 collaborators of Mikio Kato. A scholar is included among the top collaborators of Mikio Kato based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mikio Kato. Mikio Kato is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 4 | |
| 3 | 14 | |
| 4 | 15 | |
| 5 | 30 | |
| 6 | Hanner type inequalities and duality(Nonlinear Analysis and Convex Analysis) | 1 |
| 7 | 2 | |
| 8 | 13 | |
| 9 | 21 | |
| 10 | 33 | |
| 11 | Clarkson type inequalities and their relations to the concepts of type and cotype | 3 |
| 12 | 21 | |
| 13 | 43 | |
| 14 | Von Neumann-Jordan constant and some geometrical constants of Banach spaces(NONLINEAR ANALYSIS AND CONVEX ANALYSIS) | 3 |
| 15 | Von Neumam-Jordan Constant And Uniformly Non-square Banach Spaces | 19 |
| 16 | ON GENERALIZED CLARKSON'S INEQUALITIES FOR Lp(μ;Lq(ν)) AND SOBOLEV SPACES | 7 |
| 17 | GENERALIZED CLARKSON,S INEQUALITIES FOR LEBESGUE-BOCHNER SPACES | 3 |
| 18 | Type, Cotype Constants For $L_{p}(L_{q})$ Norms Of The Rademacher Matriees And Interpolation | 5 |
| 19 | REMARK ON GENERALIZED CLARKSON'S INEQUALITIES FOR EXTREMECASES | 4 |
| 20 | A NOTE ON A GENERALIZED PARALLELOGRAM LAW AND THE LITTLEWOOD MATRICES | 5 |
About Mikio Kato
Mikio Kato is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability, having authored 36 papers that have together received 476 indexed citations. Recurring topics across this work include Advanced Banach Space Theory (27 papers), Functional Equations Stability Results (11 papers) and Mathematical Inequalities and Applications (11 papers). The work is most often cited by research in Mathematical Physics (365 citations), Applied Mathematics (299 citations) and Geometry and Topology (159 citations). Mikio Kato has collaborated with scholars based in Japan and Sweden. Frequent co-authors include Yasuji Takahashi, Kichi-Suke Saito, Lech Maligranda, Takayuki Tamura, Ken-ichi Miyazaki, Tomonari Suzuki, Masatoshi Fujii, Lars‐Erik Persson, Ch. Tsitouras and Theodore E. Simos. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society and Studia Mathematica.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.