On Generalized Maximal Functions
Copyright policy )On Generalized Maximal Functions
In this paper we study the question of under what circumstances the quantity | | sup t > ∞ , a ∈ R | ∫ 0 t f ( a , M s ) d M s | | | p ||{\sup _{t > \infty ,\,a \in \mathbb {R}}}|\int _0^t f (a,{M_s})\,d{M_s}|\;|{|_p} is comparable to | | M ∞ ∗ | | p ||M_\infty ^{\ast }|{|_p} , where M t {M_t} is a continuous martingale and f f is a bounded Borel-measurable function.
- Kansas State University United States
Stochastic integrals, martingale, Martingales and classical analysis, Martingales with continuous parameter, Probabilistic methods for one variable harmonic analysis, maximal functions
Stochastic integrals, martingale, Martingales and classical analysis, Martingales with continuous parameter, Probabilistic methods for one variable harmonic analysis, maximal functions
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