Albert Baernstein II explained
Albert Baernstein II (25 April 1941, Birmingham, Alabama – 10 June 2014, University City, Missouri) was an American mathematician.[1]
Education and career
Baernstein matriculated at the University of Alabama, but after a year there he transferred to Cornell University, where he received his bachelor's degree in 1962. After working for a year for an insurance company, he became a graduate student in mathematics at the University of Wisconsin-Madison, where he received his master's degree in 1964 and Ph.D. in 1968.
Baernstein was from 1968 to 1972 an assistant professor at Syracuse University and from 1972 to 2011 a professor at Washington University in St. Louis, where he retired as professor emeritus.[2]
Contributions
The main focus of Baernstein's was analysis, especially function theory and symmetrization problems. His most important contribution is now called the Baernstein star-function. He originally introduced the star-function to solve an extremal problem posed by Albert Edrei in Nevanlinna theory. Later, the star-function was applied by Baernstein and others to several different extremal problems.[2]
In 1978 he was an Invited Speaker with talk How the *-function solves extremal problems at the ICM in Helsinki.[3] He supervised 15 doctoral students,[4] including Juan J. Manfredi.
Selected publications
- A nonlinear Tauberian theorem in function theory. Trans. Amer. Math. Soc.. 146. 1969. 87–105. 10.1090/S0002-9947-1969-0257358-3. free. Baernstein. Albert.
- Representations of holomorphic functions by boundary integrals. Trans. Amer. Math. Soc.. 160. 1971. 27–37. 10.1090/S0002-9947-1971-0283182-0. free. Baernstein. Albert.
- A representation theorem for functions holomorphic off the real axis. Trans. Amer. Math. Soc.. 165. 1972. 159–165. 10.1090/S0002-9947-1972-0293111-2. free. Baernstein. Albert.
- Proof of Edrei's spread conjecture. Bull. Amer. Math. Soc.. 78. 1972. 277–278. 10.1090/S0002-9904-1972-12957-4. free. Baernstein Ii. Albert. 2.
- On reflexivity and summability. Studia Mathematica. 42. 1. 1972. 91–94. 10.4064/sm-42-1-91-94. Baernstein. Albert. free.
- A generalization of the cos πρ theorem. Trans. Amer. Math. Soc.. 193. 1974. 181–197. 10.1090/S0002-9947-1974-0344468-7. free.
- Integral means, univalent functions and circular symmetrization. Acta Mathematica. 133. 1. 1974. 139–169. 10.1007/BF02392144. free. Baernstein. Albert.
- Univalence and bounded mean oscillation. The Michigan Mathematical Journal. 23. 3. 1976. 217–223. 10.1307/mmj/1029001715. free. Baernstein. Albert.
- with Eric T. Sawyer: Book: Embedding and multiplier theorems for H p(Rn). Memoirs of the AMS, vol. 318. American Mathematical Soc.. 1985. 9780821823187.
- Coefficients of univalent functions with restricted maximum modulus. Complex Variables and Elliptic Equations. 5. 2–4. 1986. 225–236. 10.1080/17476938608814143. Baernstein. Albert.
- Book: A unified approach to symmetrization. In: Partial differential equations of elliptic type. 47–91. 1994. Cambridge University Press. 9780521460484. https://books.google.com/books?id=s1J8QGH8zU4C&pg=PA47.
- Book: The ∗-function in complex analysis. In: Handbook of Coomplex Analysis: Geometric Function Theory. 1. 229–271. North-Holland Amsterdam. 2002. 9780080532813. https://books.google.com/books?id=Wd7hKzGf9E8C&pg=PA229.
- with Daniel Girela and José Ángel Peláez: Univalent functions, Hardy spaces and spaces of Dirichlet type. Illinois Journal of Mathematics. 48. 3. 2004. 837–859. 10.1215/ijm/1258131055. Baernstein. Albert. Girela. Daniel. Peláez. José Ángel. free.
Notes and References
- Web site: Obituary: Albert Baernstein, professor emeritus of mathematics, 73. Washington University in St. Louis. 16 June 2014 .
- Drasin, David. Albert Baernstein II, 1941–2014. Notices of the American Mathematical Society. 62. 2015. 7. 815–818. 10.1090/noti1265. free.
- Baernstein II, Albert. "How the ∗-function solves extremal problems." Proc. Intern. Congr. Math.(Helsinki 1978) vol. 2 (1980): 638–644
- Web site: Albert Baernstein II. St. Louis Cremation. 10 June 2014 .
