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· 2021 · arXiv 2002.01790

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math.PR 1

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2026 1

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UNVERDICTED 1

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Finite-Order Hilbertian Gaussian Random Tensor Estimates

math.PR · 2026-06-28 · unverdicted · novelty 6.0

Establishes that the L^p(Ω; S_r) norm of a finite-order decoupled homogeneous Gaussian chaos operator is bounded by C_m (p+r)^{m/2} times the maximum oriented Schatten flattening norm of its kernel.

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  • Finite-Order Hilbertian Gaussian Random Tensor Estimates math.PR · 2026-06-28 · unverdicted · none · ref 1

    Establishes that the L^p(Ω; S_r) norm of a finite-order decoupled homogeneous Gaussian chaos operator is bounded by C_m (p+r)^{m/2} times the maximum oriented Schatten flattening norm of its kernel.