Differentiation theorem for Gaussian measures on Hilbert space
Author:
Jaroslav Tišer
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
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Abstract | References | Similar Articles | Additional Information
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.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1988-0951621-8
Keywords:
Derivation,
Gaussian measure,
maximal operator
Article copyright:
© Copyright 1988
American Mathematical Society