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This article is cited in 33 scientific papers (total in 33 papers)
Research Papers
The Bellman functions for a certain two-weight inequality: A case study
V. Vasyunina, A. Vol'bergb a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Department of Mathematics, Michigan State University, MI, USA
Abstract:
A formula is presented for the exact Bellman function of a certain “toy” two-weight problem. This adds one more function to a short list of other Bellman functions for which the precise expressions have recently been found. The case study reveals essential features of finding Bellman functions in general and gives the extremal sequences for the problem. Some open questions are posed.
Received: 30.11.2005
Citation:
V. Vasyunin, A. Vol'berg, “The Bellman functions for a certain two-weight inequality: A case study”, Algebra i Analiz, 18:2 (2006), 24–56; St. Petersburg Math. J., 18:2 (2007), 201–222
Linking options:
https://www.mathnet.ru/eng/aa67 https://www.mathnet.ru/eng/aa/v18/i2/p24
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