Differentiation Theorem for Gaussian Measures on Hilbert Space

DOI10.2307/2001096zbMath0661.28006OpenAlexW4239688547MaRDI QIDQ3810044

Jaroslav Tišer

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001096

zbMATH Keywords

Hardy-Littlewood maximal operatorGaussian measuresinfinite dimensional Hilbert spacedifferentiation theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (11)

Vitali covering theorem in Hilbert space ⋮ On the kernel rule for function classification ⋮ On the pointwise domination of a function by its maximal function ⋮ Gaussian measures on linear spaces ⋮ Characterization of Kurtz randomness by a differentiation theorem ⋮ The behavior of the bounds of matrix-valued maximal inequality in \(\mathbb{R}^{n}\) for large \(n\) ⋮ Random martingales and localization of maximal inequalities ⋮ Kernel regression estimation in a Banach space ⋮ A set of positive Gaussian measure with uniformly zero density everywhere. ⋮ Optimal transport maps on infinite dimensional spaces ⋮ Kernel regression estimation when the regressor takes values in metric space

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