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Education and career
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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.[2]
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.[3]
Contributions
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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.[3]
In 1978 he was an Invited Speaker with talk How the *-function solves extremal problems at the ICM in Helsinki .[4] He supervised 15 doctoral students,[5] including Juan J. Manfredi .
Selected publications
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Baernstein, Albert (1969). "A nonlinear Tauberian theorem in function theory" . Trans. Amer. Math. Soc . 146 : 87–105. doi :10.1090/S0002-9947-1969-0257358-3 .
Baernstein, Albert (1971). "Representations of holomorphic functions by boundary integrals" . Trans. Amer. Math. Soc . 160 : 27–37. doi :10.1090/S0002-9947-1971-0283182-0 .
Baernstein, Albert (1972). "A representation theorem for functions holomorphic off the real axis" . Trans. Amer. Math. Soc . 165 : 159–165. doi :10.1090/S0002-9947-1972-0293111-2 .
Baernstein Ii, Albert (1972). "Proof of Edrei's spread conjecture" . Bull. Amer. Math. Soc . 78 (2 ): 277–278. doi :10.1090/S0002-9904-1972-12957-4 .
Baernstein, Albert (1972). "On reflexivity and summability" . Studia Mathematica . 42 (1 ): 91–94. doi :10.4064/sm-42-1-91-94 .
"A generalization of the cos πρ theorem" . Trans. Amer. Math. Soc . 193 : 181–197. 1974. doi :10.1090/S0002-9947-1974-0344468-7 .
Baernstein, Albert (1974). "Integral means, univalent functions and circular symmetrization" . Acta Mathematica . 133 (1 ): 139–169. doi :10.1007/BF02392144 .
Baernstein, Albert (1976). "Univalence and bounded mean oscillation" . The Michigan Mathematical Journal . 23 (3 ): 217–223. doi :10.1307/mmj/1029001715 .
with Eric T. Sawyer: Embedding and multiplier theorems for H p (R n ) . Memoirs of the AMS, vol. 318. American Mathematical Soc. 1985. ISBN 9780821823187 .
Baernstein, Albert (1986). "Coefficients of univalent functions with restricted maximum modulus". Complex Variables and Elliptic Equations . 5 (2–4): 225–236. doi :10.1080/17476938608814143 .
"A unified approach to symmetrization" . In: Partial differential equations of elliptic type . Cambridge University Press. 1994. pp. 47–91. ISBN 9780521460484 .
"The ∗-function in complex analysis" . In: Handbook of Coomplex Analysis: Geometric Function Theory . Vol. 1. North-Holland Amsterdam. 2002. pp. 229–271. ISBN 9780080532813 .
with Daniel Girela and José Ángel Peláez: Baernstein, Albert; Girela, Daniel; Peláez, José Ángel (2004). "Univalent functions, Hardy spaces and spaces of Dirichlet type" . Illinois Journal of Mathematics . 48 (3 ): 837–859. doi :10.1215/ijm/1258131055 .
References
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^ a b Drasin, David (2015). "Albert Baernstein II, 1941–2014" (PDF) . Notices of the American Mathematical Society . 62 (7 ): 815–818. doi :10.1090/noti1265 .
^ Baernstein II, Albert.『How the ∗-function solves extremal problems.』Proc. Intern. Congr. Math.(Helsinki 1978) vol. 2 (1980): 638–644
^ "Albert Baernstein II" . St. Louis Cremation . 10 June 2014.
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C a t e g o r i e s :
● 2 0 t h - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s
● 2 1 s t - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s
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● W a s h i n g t o n U n i v e r s i t y i n S t . L o u i s m a t h e m a t i c i a n s
● 1 9 4 1 b i r t h s
● 2 0 1 4 d e a t h s
● P e o p l e f r o m B i r m i n g h a m , A l a b a m a
H i d d e n c a t e g o r i e s :
● A r t i c l e s w i t h s h o r t d e s c r i p t i o n
● S h o r t d e s c r i p t i o n m a t c h e s W i k i d a t a
● A r t i c l e s w i t h I S N I i d e n t i f i e r s
● A r t i c l e s w i t h V I A F i d e n t i f i e r s
● A r t i c l e s w i t h W o r l d C a t E n t i t i e s i d e n t i f i e r s
● A r t i c l e s w i t h G N D i d e n t i f i e r s
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● T h i s p a g e w a s l a s t e d i t e d o n 1 1 A p r i l 2 0 2 3 , a t 0 8 : 4 0 ( U T C ) .
● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n .
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