Tetsu Shimomura

Applied Mathematics · 2006–2018

A researcher in the Science corpus: 8 papers; trusts 12 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 59 citations into it; #2,208 of 7,620 by trust here, #1,655 by citations
• Mathematical Physics — 30 citations into it; #3,519 of 8,562 by trust here, #3,022 by citations
• Computational Theory and Mathematics — 25 citations into it
• Mechanics of Materials — 6 citations into it
• Biomedical Engineering — 5 citations into it
• Civil and Structural Engineering — 5 citations into it

Whom Tetsu Shimomura trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Lars Diening
2. Petteri Harjulehto
3. M. Růžička
4. D. Cruz-Uribe
5. E. Nakai
6. P. Hasto
7. V. Kokilashvili
8. S. Samko
9. Y. Mizuta

Who trusts Tetsu Shimomura overall

1. E. Nakai
2. P. Hasto
3. Petteri Harjulehto
4. V. Kokilashvili
5. Y. Mizuta
6. Mitsuo Izuki
7. Yoshihiro Sawano
8. Lars Diening
9. F. Maeda
10. A. Meskhi

Papers from Tetsu Shimomura's perspective

Ordered by how strongly the researchers Tetsu Shimomura trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the Spaces L and W
2. An example of a space Lp(x) on which the Hardy-Littlewood maximal operator is not bounded
3. Sobolev embeddings for variable exponent riesz potentials on metric spaces
4. Variable Exponent Lebesgue Spaces on Metric Spaces: The Hardy-Littlewood Maximal Operator
5. On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
6. Some remarks on the Hardy-Littlewood maximal function on variable Lp spaces
7. Variable Exponent, Linear Growth Functionals in Image Restoration (SIAM Journal on Applied Mathematics)
8. A strong maximum principle for differential equations with nonstandard p(x)-growth conditions
9. Sobolev embeddings with variable exponent
10. Maximal and Potential Operators in Variable Exponent Morrey Spaces

Their papers

• Sobolev’s inequality for double phase functionals with variable exponents (2018) — 51 citations
• Boundedness of maximal operators and Sobolevʼs inequality on Musielak–Orlicz–Morrey spaces (2013) — 120 citations
• Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents (2011) — 49 citations
• Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials (2010) — 49 citations
• MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT (2009) — 126 citations
• Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent (2008) — 91 citations
• Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space Lp(⋅)(logL)q(⋅) (2008) — 48 citations
• Sobolev embeddings for variable exponent riesz potentials on metric spaces (2006) — 71 citations