We briefly show an extension of inequalities of Burkholder and Gundy for linear Brownian motion to certain monotone functionals of the d-dimensional Brownian convex hull. Our results belong to a class of results that imply that Brownian hulls are much like the one-dimensional maximal process.
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Indian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, IndiaIndian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, India
Datta, A
Pal, S
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Indian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, IndiaIndian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, India
Pal, S
Pal, NR
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Indian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, IndiaIndian Stat Inst, Comp & Stat Serv Ctr, Elect & Commun Sci Unit, Calcutta 700035, W Bengal, India