Differentiation theorem for Gaussian measures on Hilbert space
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- by Jaroslav Tišer PDF
- Trans. Amer. Math. Soc. 308 (1988), 655-666 Request permission
Abstract:
It is shown that the differentiation theorem is valid in infinitely dimensional Hilbert space with certain Gaussian measures. The proof uses result from harmonic analysis concerning the behavior of Hardy-Littlewood maximal operator in highly dimensional space.References
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- E. M. Stein and J.-O. Strömberg, Behavior of maximal functions in $\textbf {R}^{n}$ for large $n$, Ark. Mat. 21 (1983), no. 2, 259–269. MR 727348, DOI 10.1007/BF02384314
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 308 (1988), 655-666
- MSC: Primary 28C20; Secondary 28A15, 46G12
- DOI: https://doi.org/10.1090/S0002-9947-1988-0951621-8
- MathSciNet review: 951621