Biography:Benjamin Muckenhoupt
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.[6] 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.[7]
The main focus of Muckenhoupt's mathematical research was harmonic analysis and weighted norm inequalities.[8] 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.[6]
Upon his death he was survived by his widow, a daughter, a son, and three grandchildren.[4]
Selected publications
- Albert, A. A.; Muckenhoupt, Benjamin (1957). "On matrices of trace zero". Michigan Mathematical Journal 4. doi:10.1307/mmj/1028990168.
- Muckenhoupt, B.; Stein, E. M. (1965). "Classical expansions and their relation to conjugate harmonic functions". Transactions of the American Mathematical Society 118: 17. doi:10.1090/S0002-9947-1965-0199636-9.
(1969). "Hermite conjugate expansions". Transactions of the American Mathematical Society 139: 243–260. doi:10.1090/S0002-9947-1969-0249918-0.(1969). "Poisson integrals for Hermite and Laguerre expansions". Transactions of the American Mathematical Society 139: 231–242. doi:10.1090/S0002-9947-1969-0249917-9.(1970). "Conjugate functions for Laguerre expansions". Transactions of the American Mathematical Society 147 (2): 403–418. doi:10.1090/S0002-9947-1970-0252945-9.(1970). "Mean convergence of Hermite and Laguerre series. I". Transactions of the American Mathematical Society 147 (2): 419–431. doi:10.1090/S0002-9947-1970-99933-9.(1970). "Mean convergence of Hermite and Laguerre series. II". Transactions of the American Mathematical Society 147 (2): 433–460. doi:10.1090/S0002-9947-1970-0256051-9.; Wheeden, Richard L. (1971). "Weighted norm inequalities for singular and fractional integrals". Transactions of the American Mathematical Society 161: 249–258. doi:10.1090/S0002-9947-1971-0285938-7.- Hunt, Richard; Muckenhoupt, Benjamin; Wheeden, Richard (1973). "Weighted norm inequalities for the conjugate function and Hilbert transform". Transactions of the American Mathematical Society 176: 227. doi:10.1090/S0002-9947-1973-0312139-8.
; Wheeden, Richard (1974). "Weighted norm inequalities for fractional integrals". Transactions of the American Mathematical Society 192: 261–274. doi:10.1090/S0002-9947-1974-0340523-6. https://www.ams.org/journals/tran/1974-192-00/S0002-9947-1974-0340523-6/S0002-9947-1974-0340523-6.pdf.- Andersen, Kenneth F.; Muckenhoupt, Benjamin (1982). "Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions". Studia Math 72 (1): 9–26. doi:10.4064/sm-72-1-9-26. https://matwbn.icm.edu.pl/ksiazki/sm/sm72/sm7212.pdf.
- Ariño, Miguel A.; Muckenhoupt, Benjamin (1990). "Maximal functions on classical Lorentz spaces and Hardy's inequality with weights for nonincreasing functions". Transactions of the American Mathematical Society 320 (2): 727–735. doi:10.1090/S0002-9947-1990-0989570-0.
References
- ↑ Muckenhoupt, Benjamin (1972). "Weighted norm inequalities for the Hardy maximal function". Transactions of the American Mathematical Society 165: 207–226. doi:10.1090/S0002-9947-1972-0293384-6.
- ↑ "Benjamin Muckenhoupt, Class of 1950". https://www.classmates.com/people/Benjamin-Muckenhoupt/8689870718.
- ↑ 3.0 3.1 3.2 3.3 "Benjamin Muckenhoupt". 9 December 2019. https://www.ias.edu/scholars/benjamin-muckenhoupt.
- ↑ 4.0 4.1 "Benjamin Muckenhoupt (1933–2020)". https://www.math.rutgers.edu/people/department-directory/detail/343-in-memoriam/2078-muckenhoupt-benjamin.
- ↑ Muckenhoupt, Benjamin (1958). On certain singular integrals. UChicago Library Catalog (Thesis); Thesis (Ph.D.) — U. of Chicago Department of Mathematics, August 1958; catalog entry
{{cite thesis}}: CS1 maint: postscript (link) - ↑ 6.0 6.1 Benjamin Muckenhoupt at the Mathematics Genealogy Project
- ↑ "... Benjamin Muckenhoupt died peacefully the morning of April 13 ...". Skylights newsletter (Unitarian Universalist Congregation of Princeton) 42 (10): p. 5. May 2020. https://www.uuprinceton.org/wp-content/uploads/2020/04/2020-05-Skylights.pdf.
- ↑ "Who's That Mathematician? Paul R. Halmos Collection - Page 36". https://maa.org/book/export/html/117812.
