Bellman approach to some problems in harmonic analysis

Alexander Volberg[1]

  • [1] Université Paris VI UFR de Mathématiques 4, place Jussieu F-75252 Paris cedex 05

Séminaire Équations aux dérivées partielles (2001-2002)

  • Volume: 2001-2002, page 1-14

Abstract

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The stochastic optimal control uses the differential equation of Bellman and its solution - the Bellman function. Recently the Bellman function proved to be an efficient tool for solving some (sometimes old) problems in harmonic analysis.

How to cite

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Volberg, Alexander. "Bellman approach to some problems in harmonic analysis." Séminaire Équations aux dérivées partielles 2001-2002 (2001-2002): 1-14. <http://eudml.org/doc/11038>.

@article{Volberg2001-2002,
abstract = {The stochastic optimal control uses the differential equation of Bellman and its solution - the Bellman function. Recently the Bellman function proved to be an efficient tool for solving some (sometimes old) problems in harmonic analysis.},
affiliation = {Université Paris VI UFR de Mathématiques 4, place Jussieu F-75252 Paris cedex 05},
author = {Volberg, Alexander},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Bellman approach to some problems in harmonic analysis},
url = {http://eudml.org/doc/11038},
volume = {2001-2002},
year = {2001-2002},
}

TY - JOUR
AU - Volberg, Alexander
TI - Bellman approach to some problems in harmonic analysis
JO - Séminaire Équations aux dérivées partielles
PY - 2001-2002
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2001-2002
SP - 1
EP - 14
AB - The stochastic optimal control uses the differential equation of Bellman and its solution - the Bellman function. Recently the Bellman function proved to be an efficient tool for solving some (sometimes old) problems in harmonic analysis.
LA - eng
UR - http://eudml.org/doc/11038
ER -

References

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  7. F. Nazarov, S. Treil, The hunt for the Bellman function : applications to estimates of singular integral operators and to other classical problems in harmonic analysis, St Petersburg Math. J., 8 (1997), N ∘ 5, 32-162. Zbl0873.42011MR1428988
  8. F. Nazarov, S. Treil, A. Volberg, Bellman function in stochastic control and harmonic analysis, in “systems, Approximation, singular Integral operators, and related topics”, ed. A. Borichev, N. Nikolski, OPERATOR THEORY : Advances and applications, v.129, 2001, 393-424, Birkhäuser Verlag. Zbl0999.60064
  9. F. Nazarov, A. Volberg, The Bellman function and the imbeddings of the model space K θ , to appear in J. d’Analyse Math. 
  10. S. Petermichl, J. Wittwer, A sharp weighted estimates on the norm of Hilbert transform via invariant A 2 characteristic of the weight, To appear in Mich. Math. J. MR1897034

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