Benjamin Muckenhoupt Explained

Benjamin Muckenhoupt (December 22, 1933, Boston – April 13, 2020, Whippany, New Jersey) was an American mathematician, specializing in analysis. He is known for the introduction of Muckenhoupt weights.^[1]

Biography

After graduating in 1950 from Newton High School (renamed in 1974 Newton North High School),^[2] Benjamin Muckenhoupt matriculated at Harvard University. where he graduated in 1954 with an A.B.^[3] At Harvard, by his outstanding score on the 1954 William Lowell Putnam Competition, he became a Putnam Fellow.^[4] At the University of Chicago, he graduated in 1955 with an M.Sc. and in 1958 with a Ph.D.^[3] His Ph.D. thesis On certain singular integrals^[5] was supervised by Antoni Zygmund. In the department of the mathematics of Rutgers University, he was an associate professor from 1963 to 1970 and a full professor from 1970 to 1991, when he retired as professor emeritus.^[3] For many years, he suffered from progressive supranuclear palsy.^[6]

The main focus of Muckenhoupt's mathematical research was harmonic analysis and weighted norm inequalities.^[7] At the Institute for Advanced Study, he held visiting positions for the academic years 1968–1970 and 1975–1976. At the State University of New York at Albany he was a visiting professor for the academic year 1970–1971.^[3]

His doctoral students include Eileen Poiani.

Upon his death he was survived by his widow, a daughter, a son, and three grandchildren.^[4]

Selected publications

• 10.1307/mmj/1028990168. 83961 . On matrices of trace zeros . 1957 . Albert . A. A. . A. A. Albert . Muckenhoupt . Benjamin . Michigan Mathematical Journal . 4 .
• 10.1090/S0002-9947-1965-0199636-9. 199636 . Classical expansions and their relation to conjugate harmonic functions . 1965 . Muckenhoupt . B. . Stein . E. M. . Elias M. Stein . Transactions of the American Mathematical Society . 118 . 17 .
• 2. 10.1090/S0002-9947-1969-0249918-0. 249918 . Hermite conjugate expansions . 1969 . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 139 . 243–260 .
• 2. 10.1090/S0002-9947-1969-0249917-9. 0249917 . Poisson integrals for Hermite and Laguerre expansions . 1969 . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 139 . 231–242 .
• 2. 10.1090/S0002-9947-1970-0252945-9 . Conjugate functions for Laguerre expansions . 1970 . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 147 . 2 . 403–418 .
• 2. Mean convergence of Hermite and Laguerre series. I . 1970 . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 147 . 2 . 419–431 . 10.1090/S0002-9947-1970-99933-9 .
• 2. 10.1090/S0002-9947-1970-0256051-9 . Mean convergence of Hermite and Laguerre series. II . 1970 . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 147 . 2 . 433–460 .
• 2. 10.1090/S0002-9947-1971-0285938-7 . Weighted norm inequalities for singular and fractional integrals . 1971 . Muckenhoupt . Benjamin . Wheeden . Richard L. . Transactions of the American Mathematical Society . 161 . 249–258 .
• 2. 10.1090/S0002-9947-1973-0312139-8 . Weighted norm inequalities for the conjugate function and Hilbert transform . 1973 . Hunt . Richard . Richard Allen Hunt . Muckenhoupt . Benjamin . Wheeden . Richard . Transactions of the American Mathematical Society . 176 . 227 .
• 2. 10.1090/S0002-9947-1974-0340523-6 . Weighted norm inequalities for fractional integrals . 1974 . Muckenhoupt . Benjamin . Wheeden . Richard . Transactions of the American Mathematical Society . 192 . 261–274 .
• 2. Andersen, Kenneth F.. Muckenhoupt, Benjamin. Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions. Studia Math. 72. 1. 1982. 9–26.
• 2. 10.1090/S0002-9947-1990-0989570-0 . Maximal functions on classical Lorentz spaces and Hardy's inequality with weights for nonincreasing functions . 1990 . Ariño . Miguel A. . Muckenhoupt . Benjamin . Transactions of the American Mathematical Society . 320 . 2 . 727–735 .

References

1. Muckenhoupt . Benjamin. Weighted norm inequalities for the Hardy maximal function . Transactions of the American Mathematical Society . 207–226. 1972 . 165. 10.1090/S0002-9947-1972-0293384-6. free.
2. Web site: Benjamin Muckenhoupt, Class of 1950. classmates.com.
3. Web site: Benjamin Muckenhoupt. Institute for Advanced Study (ias.edu). 9 December 2019 .
4. Web site: Benjamin Muckenhoupt (1933–2020). Mathematics Department, Rutgers University.
5. Muckenhoupt, Benjamin. On certain singular integrals. 1958. UChicago Library Catalog.

   Thesis (Ph.D.) — U. of Chicago Department of Mathematics, August 1958; catalog entry

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6. ... Benjamin Muckenhoupt died peacefully the morning of April 13 .... Skylights newsletter. 42. 10. 5. May 2020. Unitarian Universalist Congregation of Princeton.
7. Web site: Who's That Mathematician? Paul R. Halmos Collection - Page 36. Mathematical Association of America.