Shanzhen Lu

3.2k citations
140 papers · 2.1k · h-index 27

Impact in

    • Advanced Harmonic Analysis Research
    • Differential Equations and Boundary Problems
    • Nonlinear Partial Differential Equations
    • Mathematical Analysis and Transform Methods
    • Holomorphic and Operator Theory
    • Advanced Mathematical Physics Problems
    • Advanced Banach Space Theory

Papers in

    • Advanced Harmonic Analysis Research 131
    • Differential Equations and Boundary Problems 60
    • Holomorphic and Operator Theory 41
    • Mathematical Analysis and Transform Methods 34
    • Nonlinear Partial Differential Equations 25
    • Advanced Mathematical Physics Problems 33
    • Advanced Banach Space Theory 19

Shanzhen Lu

132 papers receiving 1.9k citations

Peers

Shanzhen Lu
Comparison fields: 5 of 44
  • Applied Mathematics 2.1k
  • Mathematical Physics 1.1k
  • Numerical Analysis 187
  • Statistics and Probability 72
  • Modeling and Simulation 21
Replace Elijah Liflyand with:
Elijah Liflyand Israel
Vagif S. Guliyev Azerbaijan
Vakhtang Kokilashvili Georgia
Eiichi Nakai Japan
Alexandre Almeida Portugal
Tetsu Shimomura Japan
Humberto Rafeiro Colombia
José Garcı́a-Cuerva Spain
Walter Trebels Germany
Амиран Гогатишвили Czechia
Shanzhen Lu relative to Elijah Liflyand Israel Elijah Liflyand's profile →
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Citations per year

Countries citing papers authored by Shanzhen Lu

Since Specialization
Citations

This map shows the geographic impact of Shanzhen Lu'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 Shanzhen Lu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Shanzhen Lu more than expected).

Fields of papers citing papers by Shanzhen Lu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shanzhen Lu. 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 Shanzhen Lu. The network helps show where Shanzhen Lu may publish in the future.

Co-authors

The 25 scholars most cited alongside Shanzhen Lu, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Shanzhen Lu Line = papers co-authored together Shanzhen Lu links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 140 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1995112
2 200784
3 200775
4 199574
5 199873
6
The weighted Herz-type Hardy space and its applications
199571
7 200766
8 200265
9 200251
10 199251
11 199850
12 199545
13 199644
14 199743
15 200043
16 200543
17 199238
18 200237
19 199934
20 200032

About Shanzhen Lu

Shanzhen Lu is a scholar working on Applied Mathematics, Mathematical Physics, Numerical Analysis, Statistics and Probability and Computational Theory and Mathematics, having authored 140 papers that have together received 2.1k indexed citations. Recurring topics across this work include Advanced Harmonic Analysis Research (131 papers), Differential Equations and Boundary Problems (60 papers), Holomorphic and Operator Theory (41 papers), Mathematical Analysis and Transform Methods (34 papers), Advanced Mathematical Physics Problems (33 papers), Nonlinear Partial Differential Equations (25 papers), Advanced Banach Space Theory (19 papers) and Mathematical Approximation and Integration (16 papers). The work is most often cited by research in Applied Mathematics (2.1k citations), Mathematical Physics (1.1k citations), Numerical Analysis (187 citations), Statistics and Probability (72 citations) and Modeling and Simulation (21 citations). Shanzhen Lu has collaborated with scholars based in China, United States and Japan. Frequent co-authors include Yong Ding, Dachun Yang, Dunyan Yan, Zunwei Fu, Kôzô Yabuta, Shaoguang Shi, Yan Zhang, Yong Ding, Guoen Hu and Hongbin Wang. Their work appears in journals such as Proceedings of the American Mathematical Society, Mathematische Nachrichten, Journal of Mathematical Analysis and Applications, Nagoya Mathematical Journal and Tohoku Mathematical Journal.

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.

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