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Bellman Function for Extremal Problems in BMO II: Evolution
by
Zatitskiy, Pavel B.
, Ivanisvili, Paata
, Stolyarov, Dmitriy M.
, Vasyunin, Vasily I.
in
Bounded mean oscillation
/ Extremal problems (Mathematics)
/ Harmonic analysis
2018
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Bellman Function for Extremal Problems in BMO II: Evolution
by
Zatitskiy, Pavel B.
, Ivanisvili, Paata
, Stolyarov, Dmitriy M.
, Vasyunin, Vasily I.
in
Bounded mean oscillation
/ Extremal problems (Mathematics)
/ Harmonic analysis
2018
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Bellman Function for Extremal Problems in BMO II: Evolution
eBook
Bellman Function for Extremal Problems in BMO II: Evolution
2018
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Overview
In a previous study, the authors built the Bellman function for integral functionals on the $\\mathrm{BMO}$ space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.
Publisher
American Mathematical Society
ISBN
9781470429546, 1470429543
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