On generalized maximal functions
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- by Bernd S. W. Schröder PDF
- Proc. Amer. Math. Soc. 118 (1993), 619-625 Request permission
Abstract:
In this paper we study the question of under what circumstances the quantity $||{\sup _{t < \infty , a \in \mathbb {R}}}|\int _0^t f (a,{M_s}) d{M_s}|\;|{|_p}$ is comparable to $||M_\infty ^{\ast }|{|_p}$, where ${M_t}$ is a continuous martingale and $f$ is a bounded Borel-measurable function.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 619-625
- MSC: Primary 60G46; Secondary 42A61, 60H05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1158009-5
- MathSciNet review: 1158009