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[edit]

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[edit]

• Albert, A. A.; Muckenhoupt, Benjamin (1957). "On matrices of trace zeros". Michigan Mathematical Journal. 4. doi:10.1307/mmj/1028990168. MR 0083961.
• 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. MR 0199636.
• —— (1969). "Hermite conjugate expansions". Transactions of the American Mathematical Society. 139: 243–260. doi:10.1090/S0002-9947-1969-0249918-0. MR 0249918.
• —— (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. MR 0249917.
• —— (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; ——; 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" (PDF). Transactions of the American Mathematical Society. 192: 261–274. doi:10.1090/S0002-9947-1974-0340523-6.
• Andersen, Kenneth F.; —— (1982). "Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions" (PDF). Studia Math. 72 (1): 9–26.
• Ariño, Miguel A.; —— (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[edit]