Benjamin Muckenhoupt

7.6k total citations · 4 hit papers
71 papers, 5.0k citations indexed

About

Benjamin Muckenhoupt is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Benjamin Muckenhoupt has authored 71 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Applied Mathematics, 26 papers in Mathematical Physics and 14 papers in Numerical Analysis. Recurrent topics in Benjamin Muckenhoupt's work include Advanced Harmonic Analysis Research (22 papers), Mathematical functions and polynomials (18 papers) and Numerical methods in inverse problems (12 papers). Benjamin Muckenhoupt is often cited by papers focused on Advanced Harmonic Analysis Research (22 papers), Mathematical functions and polynomials (18 papers) and Numerical methods in inverse problems (12 papers). Benjamin Muckenhoupt collaborates with scholars based in United States, Netherlands and Germany. Benjamin Muckenhoupt's co-authors include Richard L. Wheeden, Richard A. Hunt, Miguel Á. Ariño, E. M. Stein, Kenneth Andersen, A. A. Albert, Sagun Chanillo, Charles Fefferman and Xiangrong Yin and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Benjamin Muckenhoupt

68 papers receiving 3.7k citations

Hit Papers

Weighted norm inequalities for the Hardy maximal function 1972 2026 1990 2008 1972 1972 1973 1974 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Weighted norm inequalities for the Hardy maximal function
    1972 1.1k citations Benjamin Muckenhoupt Transactions of the American Mathematical Society profile →
  2. Hardy's inequality with weights
    1972 436 citations Benjamin Muckenhoupt profile →
  3. Weighted norm inequalities for the conjugate function and Hilbert transform
    1973 400 citations Richard A. Hunt, Benjamin Muckenhoupt et al. Transactions of the American Mathematical Society profile →
  4. Weighted norm inequalities for fractional integrals
    1974 361 citations Benjamin Muckenhoupt, Richard L. Wheeden Transactions of the American Mathematical Society profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Benjamin Muckenhoupt United States 28 4.6k 2.2k 581 525 307 71 5.0k
A. P. Calderón United States 20 2.9k 0.6× 1.7k 0.8× 342 0.6× 602 1.1× 187 0.6× 34 3.4k
Jaak Peetre Sweden 26 2.8k 0.6× 1.8k 0.8× 298 0.5× 598 1.1× 301 1.0× 104 3.3k
A. Zygmund United States 16 1.6k 0.3× 803 0.4× 314 0.5× 354 0.7× 187 0.6× 26 2.1k
Lennart Carleson Sweden 25 2.6k 0.6× 1.8k 0.8× 229 0.4× 423 0.8× 1.1k 3.6× 49 3.8k
Nassif Ghoussoub Canada 30 2.6k 0.6× 1.5k 0.7× 230 0.4× 2.0k 3.7× 272 0.9× 108 3.3k
F. F. Bonsall United Kingdom 18 1.6k 0.3× 1.6k 0.7× 334 0.6× 899 1.7× 554 1.8× 65 3.0k
S. G. Kreĭn Ukraine 13 1.0k 0.2× 921 0.4× 218 0.4× 337 0.6× 84 0.3× 35 1.5k
Alois Kufner Czechia 18 2.5k 0.5× 1.2k 0.5× 285 0.5× 888 1.7× 161 0.5× 74 2.9k
Joseph Diestel United States 14 1.9k 0.4× 2.6k 1.1× 184 0.3× 956 1.8× 760 2.5× 25 3.4k
Lech Maligranda Sweden 24 2.2k 0.5× 1.5k 0.7× 137 0.2× 373 0.7× 340 1.1× 181 2.6k

Countries citing papers authored by Benjamin Muckenhoupt

Since Specialization
Citations

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

Fields of papers citing papers by Benjamin Muckenhoupt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Benjamin Muckenhoupt

This figure shows the co-authorship network connecting the top 25 collaborators of Benjamin Muckenhoupt. A scholar is included among the top collaborators of Benjamin Muckenhoupt 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 Benjamin Muckenhoupt. Benjamin Muckenhoupt is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Chanillo, Sagun & Benjamin Muckenhoupt. (1986). Weak type estimates for Bochner-Riesz spherical summation multipliers. Transactions of the American Mathematical Society. 294(2). 693–703. 10 indexed citations
2.
Chanillo, Sagun & Benjamin Muckenhoupt. (1986). Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers. Transactions of the American Mathematical Society. 294(2). 693–693. 5 indexed citations
3.
Muckenhoupt, Benjamin. (1983). Weighted norm inequalities for the Fourier transform. Transactions of the American Mathematical Society. 276(2). 729–742. 40 indexed citations
4.
Muckenhoupt, Benjamin. (1983). Weighted Norm Inequalities for the Fourier Transform. Transactions of the American Mathematical Society. 276(2). 729–729. 14 indexed citations
5.
Muckenhoupt, Benjamin. (1975). Two Weight Function Norm Inequalities for the Poisson Integral. Transactions of the American Mathematical Society. 210. 225–225. 3 indexed citations
6.
Muckenhoupt, Benjamin. (1975). Two weight function norm inequalities for the Poisson integral. Transactions of the American Mathematical Society. 210(0). 225–231. 14 indexed citations
7.
Muckenhoupt, Benjamin & Richard L. Wheeden. (1974). Weighted Norm Inequalities for Fractional Integrals. Transactions of the American Mathematical Society. 192. 261–261. 104 indexed citations
8.
Fefferman, Charles & Benjamin Muckenhoupt. (1974). Two nonequivalent conditions for weight functions. Proceedings of the American Mathematical Society. 45(1). 99–104. 27 indexed citations
9.
Hunt, Richard A., Benjamin Muckenhoupt, & Richard L. Wheeden. (1973). Weighted norm inequalities for the conjugate function and Hilbert transform. Transactions of the American Mathematical Society. 176. 227–227. 400 indexed citations breakdown →
10.
Muckenhoupt, Benjamin, et al.. (1973). Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform. Transactions of the American Mathematical Society. 176. 227–227. 145 indexed citations
11.
Muckenhoupt, Benjamin. (1972). Weighted Norm Inequalities for the Hardy Maximal Function. Transactions of the American Mathematical Society. 165. 207–207. 349 indexed citations
12.
Muckenhoupt, Benjamin & Richard L. Wheeden. (1971). Weighted Norm Inequalities for Singular and Fractional Integrals. Transactions of the American Mathematical Society. 161. 249–249. 33 indexed citations
13.
Muckenhoupt, Benjamin & Richard L. Wheeden. (1971). Weighted norm inequalities for singular and fractional integrals. Transactions of the American Mathematical Society. 161(0). 249–258. 108 indexed citations
14.
Muckenhoupt, Benjamin. (1970). Mean convergence of Hermite and Laguerre series. I. Transactions of the American Mathematical Society. 147(2). 419–431. 89 indexed citations
15.
Muckenhoupt, Benjamin. (1970). Mean Convergence of Hermite and Laguerre Series. II. Transactions of the American Mathematical Society. 147(2). 433–433. 11 indexed citations
16.
Muckenhoupt, Benjamin. (1969). Mean Convergence of Jacobi Series. Proceedings of the American Mathematical Society. 23(2). 306–306. 19 indexed citations
17.
Muckenhoupt, Benjamin. (1969). Mean convergence of Jacobi series. Proceedings of the American Mathematical Society. 23(2). 306–310. 72 indexed citations
18.
Muckenhoupt, Benjamin & E. M. Stein. (1965). Classical expansions and their relation to conjugate harmonic functions. Transactions of the American Mathematical Society. 118. 17–17. 199 indexed citations
19.
Muckenhoupt, Benjamin, et al.. (1965). Classical Expansions and Their Relation to Conjugate Harmonic Functions. Transactions of the American Mathematical Society. 118. 17–17. 68 indexed citations
20.
Muckenhoupt, Benjamin. (1961). Automorphisms of formal power series under substitution. Transactions of the American Mathematical Society. 99(3). 373–383. 5 indexed citations

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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