'''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.<ref>{{cite journal|last = Muckenhoupt | first = Benjamin| title = Weighted norm inequalities for the Hardy maximal function | journal = Transactions of the American Mathematical Society | pages = 207–226| year = 1972 | volume = 165| doi = 10.1090/S0002-9947-1972-0293384-6| doi-access = free}}</ref>
==Biography== After graduating in 1950 from Newton High School (renamed in 1974 Newton North High School),<ref>{{cite web|title=Benjamin Muckenhoupt, Class of 1950|website=classmates.com|url=https://www.classmates.com/people/Benjamin-Muckenhoupt/8689870718}}</ref> Benjamin Muckenhoupt matriculated at Harvard University. where he graduated in 1954 with an A.B.<ref name=IAS>{{cite web|title=Benjamin Muckenhoupt|website=Institute for Advanced Study (ias.edu)|date=9 December 2019 |url=https://www.ias.edu/scholars/benjamin-muckenhoupt}}</ref> At Harvard, by his outstanding score on the 1954 William Lowell Putnam Competition, he became a Putnam Fellow.<ref name=memoriam>{{cite web|title=Benjamin Muckenhoupt (1933–2020)|website=Mathematics Department, Rutgers University|url=https://www.math.rutgers.edu/people/department-directory/detail/343-in-memoriam/2078-muckenhoupt-benjamin}}</ref> At the University of Chicago, he graduated in 1955 with an M.Sc. and in 1958 with a Ph.D.<ref name=IAS/> His Ph.D. thesis ''On certain singular integrals''<ref>{{cite thesis|author=Muckenhoupt, Benjamin|title=On certain singular integrals|year=1958|website=UChicago Library Catalog|oclc= |postscript=; Thesis (Ph.D.) — U. of Chicago Department of Mathematics, August 1958; catalog entry|url=http://pi.lib.uchicago.edu/1001/cat/bib/4136320}}</ref> was supervised by Antoni Zygmund.<ref name=MathGenealogy>{{MathGenealogy|id=6483|name=Benjamin Muckenhoupt}}</ref> 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.<ref name=IAS/> For many years, he suffered from progressive supranuclear palsy.<ref>{{cite news|title=... Benjamin Muckenhoupt died peacefully the morning of April 13 ...|newspaper=Skylights newsletter|volume=42|issue=10|page=5|date=May 2020|publisher=Unitarian Universalist Congregation of Princeton|url=https://www.uuprinceton.org/wp-content/uploads/2020/04/2020-05-Skylights.pdf}}</ref>
The main focus of Muckenhoupt's mathematical research was harmonic analysis and weighted norm inequalities.<ref>{{cite web|title=Who's That Mathematician? Paul R. Halmos Collection - Page 36|website=Mathematical Association of America|url=https://maa.org/book/export/html/117812}}</ref> 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.<ref name=IAS/>
His doctoral students include Eileen Poiani.<ref name=MathGenealogy/>
Upon his death he was survived by his widow, a daughter, a son, and three grandchildren.<ref name=memoriam/>
==Selected publications== * {{cite journal|doi=10.1307/mmj/1028990168|mr=83961 |title=On matrices of trace zero |date=1957 |last1=Albert |first1=A. A. |author-link=A. A. Albert |last2=Muckenhoupt |first2=Benjamin |journal=Michigan Mathematical Journal |volume=4 }} * {{cite journal|doi=10.1090/S0002-9947-1965-0199636-9|mr=199636 |title=Classical expansions and their relation to conjugate harmonic functions |date=1965 |last1=Muckenhoupt |first1=B. |last2=Stein |first2=E. M. |author-link2=Elias M. Stein |journal=Transactions of the American Mathematical Society |volume=118 |page=17 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1969-0249918-0|mr=249918 |title=Hermite conjugate expansions |date=1969 |last1=Muckenhoupt |first1=Benjamin |journal=Transactions of the American Mathematical Society |volume=139 |pages=243–260 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1969-0249917-9|mr=0249917 |title=Poisson integrals for Hermite and Laguerre expansions |date=1969 |last1=Muckenhoupt |first1=Benjamin |journal=Transactions of the American Mathematical Society |volume=139 |pages=231–242 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1970-0252945-9 |title=Conjugate functions for Laguerre expansions |date=1970 |last1=Muckenhoupt |first1=Benjamin |journal=Transactions of the American Mathematical Society |volume=147 |issue=2 |pages=403–418 }} * {{cite journal|author-mask=2|title=Mean convergence of Hermite and Laguerre series. I |date=1970 |last1=Muckenhoupt |first1=Benjamin |journal=Transactions of the American Mathematical Society |volume=147 |issue=2 |pages=419–431 |doi=10.1090/S0002-9947-1970-99933-9 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1970-0256051-9 |title=Mean convergence of Hermite and Laguerre series. II |date=1970 |last1=Muckenhoupt |first1=Benjamin |journal=Transactions of the American Mathematical Society |volume=147 |issue=2 |pages=433–460 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1971-0285938-7 |title=Weighted norm inequalities for singular and fractional integrals |date=1971 |last1=Muckenhoupt |first1=Benjamin |last2=Wheeden |first2=Richard L. |journal=Transactions of the American Mathematical Society |volume=161 |pages=249–258 }} * {{cite journal|author-mask2=2|doi=10.1090/S0002-9947-1973-0312139-8 |title=Weighted norm inequalities for the conjugate function and Hilbert transform |date=1973 |last1=Hunt |first1=Richard |author-link=Richard Allen Hunt |last2=Muckenhoupt |first2=Benjamin |last3=Wheeden |first3=Richard |journal=Transactions of the American Mathematical Society |volume=176 |page=227 }} * {{cite journal|author-mask=2|doi=10.1090/S0002-9947-1974-0340523-6 |title=Weighted norm inequalities for fractional integrals |date=1974 |last1=Muckenhoupt |first1=Benjamin |last2=Wheeden |first2=Richard |journal=Transactions of the American Mathematical Society |volume=192 |pages=261–274 |url=https://www.ams.org/journals/tran/1974-192-00/S0002-9947-1974-0340523-6/S0002-9947-1974-0340523-6.pdf}} * {{cite journal|author-mask2=2|author=Andersen, Kenneth F.|author2=Muckenhoupt, Benjamin|title=Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions|journal=Studia Math|volume=72|issue=1|year=1982|pages=9–26|doi=10.4064/sm-72-1-9-26 |url=https://matwbn.icm.edu.pl/ksiazki/sm/sm72/sm7212.pdf}} * {{cite journal|author-mask2=2|doi=10.1090/S0002-9947-1990-0989570-0 |title=Maximal functions on classical Lorentz spaces and Hardy's inequality with weights for nonincreasing functions |date=1990 |last1=Ariño |first1=Miguel A. |last2=Muckenhoupt |first2=Benjamin |journal=Transactions of the American Mathematical Society |volume=320 |issue=2 |pages=727–735 }}
==References== <references/>
{{authority control}} {{DEFAULTSORT:Muckenhoupt, Benjamin}} Category:1933 births Category:2020 deaths Category:20th-century American mathematicians Category:21st-century American mathematicians Category:Mathematical analysts Category:Harvard University alumni Category:University of Chicago alumni Category:Rutgers University faculty